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Finding the Fourth Proportional to 1,561.42, 2,154.54 and 898.03

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Solution

The fourth proportional to 1,561.42, 2,154.54 and 898.03 is: 1,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.42 : 2,154.54 = 898.03 : x
  2. Step 2: Convert to fraction form
    1,561.42/2,154.54 = 898.03/x
  3. Step 3: Cross multiply
    1,561.42x = 2,154.54 × 898.03
  4. Step 4: Simplify right side
    1,561.42x = 1,934,841.56
  5. Step 5: Solve for x
    x = 1,934,841.56/1,561.42
  6. Step 6: Final answer
    x = 1,239.16

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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.