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Finding the Fourth Proportional to 1,562.17, 2,155.63 and 898.89

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Solution

The fourth proportional to 1,562.17, 2,155.63 and 898.89 is: 1,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.17 : 2,155.63 = 898.89 : x
  2. Step 2: Convert to fraction form
    1,562.17/2,155.63 = 898.89/x
  3. Step 3: Cross multiply
    1,562.17x = 2,155.63 × 898.89
  4. Step 4: Simplify right side
    1,562.17x = 1,937,674.25
  5. Step 5: Solve for x
    x = 1,937,674.25/1,562.17
  6. Step 6: Final answer
    x = 1,240.37

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Why These Related Problems?

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