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Finding the Fourth Proportional to 1,688.75, 2,522.03 and 1,458.11

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Solution

The fourth proportional to 1,688.75, 2,522.03 and 1,458.11 is: 2,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.75 : 2,522.03 = 1,458.11 : x
  2. Step 2: Convert to fraction form
    1,688.75/2,522.03 = 1,458.11/x
  3. Step 3: Cross multiply
    1,688.75x = 2,522.03 × 1,458.11
  4. Step 4: Simplify right side
    1,688.75x = 3,677,397.16
  5. Step 5: Solve for x
    x = 3,677,397.16/1,688.75
  6. Step 6: Final answer
    x = 2,177.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.