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Finding the Fourth Proportional to 1,713.60, 2,364.74 and 927.64

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Solution

The fourth proportional to 1,713.60, 2,364.74 and 927.64 is: 1,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.60 : 2,364.74 = 927.64 : x
  2. Step 2: Convert to fraction form
    1,713.60/2,364.74 = 927.64/x
  3. Step 3: Cross multiply
    1,713.60x = 2,364.74 × 927.64
  4. Step 4: Simplify right side
    1,713.60x = 2,193,627.41
  5. Step 5: Solve for x
    x = 2,193,627.41/1,713.60
  6. Step 6: Final answer
    x = 1,280.13

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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.