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Finding the Fourth Proportional to 1,561.37, 2,155.05 and 898.61

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Solution

The fourth proportional to 1,561.37, 2,155.05 and 898.61 is: 1,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.37 : 2,155.05 = 898.61 : x
  2. Step 2: Convert to fraction form
    1,561.37/2,155.05 = 898.61/x
  3. Step 3: Cross multiply
    1,561.37x = 2,155.05 × 898.61
  4. Step 4: Simplify right side
    1,561.37x = 1,936,538.71
  5. Step 5: Solve for x
    x = 1,936,538.71/1,561.37
  6. Step 6: Final answer
    x = 1,240.28

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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.