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Finding the Fourth Proportional to 1,561.70, 2,155.94 and 972.43

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Solution

The fourth proportional to 1,561.70, 2,155.94 and 972.43 is: 1,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.70 : 2,155.94 = 972.43 : x
  2. Step 2: Convert to fraction form
    1,561.70/2,155.94 = 972.43/x
  3. Step 3: Cross multiply
    1,561.70x = 2,155.94 × 972.43
  4. Step 4: Simplify right side
    1,561.70x = 2,096,494.13
  5. Step 5: Solve for x
    x = 2,096,494.13/1,561.70
  6. Step 6: Final answer
    x = 1,342.44

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