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Finding the Fourth Proportional to 1,716.53, 2,572.76 and 1,098.90

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Solution

The fourth proportional to 1,716.53, 2,572.76 and 1,098.90 is: 1,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.53 : 2,572.76 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    1,716.53/2,572.76 = 1,098.90/x
  3. Step 3: Cross multiply
    1,716.53x = 2,572.76 × 1,098.90
  4. Step 4: Simplify right side
    1,716.53x = 2,827,208.71
  5. Step 5: Solve for x
    x = 2,827,208.71/1,716.53
  6. Step 6: Final answer
    x = 1,647.05

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Why These Related Problems?

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