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Finding the Fourth Proportional to 2,955.84, 4,077.92 and 1,713.60

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Solution

The fourth proportional to 2,955.84, 4,077.92 and 1,713.60 is: 2,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.84 : 4,077.92 = 1,713.60 : x
  2. Step 2: Convert to fraction form
    2,955.84/4,077.92 = 1,713.60/x
  3. Step 3: Cross multiply
    2,955.84x = 4,077.92 × 1,713.60
  4. Step 4: Simplify right side
    2,955.84x = 6,987,923.71
  5. Step 5: Solve for x
    x = 6,987,923.71/2,955.84
  6. Step 6: Final answer
    x = 2,364.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.