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Finding the Fourth Proportional to 1,983.76, 2,975.22 and 597.08

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Solution

The fourth proportional to 1,983.76, 2,975.22 and 597.08 is: 895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.76 : 2,975.22 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,983.76/2,975.22 = 597.08/x
  3. Step 3: Cross multiply
    1,983.76x = 2,975.22 × 597.08
  4. Step 4: Simplify right side
    1,983.76x = 1,776,444.36
  5. Step 5: Solve for x
    x = 1,776,444.36/1,983.76
  6. Step 6: Final answer
    x = 895.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.