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Finding the Fourth Proportional to 1,507.57, 2,256.54 and 983.38

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Solution

The fourth proportional to 1,507.57, 2,256.54 and 983.38 is: 1,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.57 : 2,256.54 = 983.38 : x
  2. Step 2: Convert to fraction form
    1,507.57/2,256.54 = 983.38/x
  3. Step 3: Cross multiply
    1,507.57x = 2,256.54 × 983.38
  4. Step 4: Simplify right side
    1,507.57x = 2,219,036.31
  5. Step 5: Solve for x
    x = 2,219,036.31/1,507.57
  6. Step 6: Final answer
    x = 1,471.93

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