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Finding the Fourth Proportional to 1,656.82, 2,474.15 and 1,572.58

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Solution

The fourth proportional to 1,656.82, 2,474.15 and 1,572.58 is: 2,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.82 : 2,474.15 = 1,572.58 : x
  2. Step 2: Convert to fraction form
    1,656.82/2,474.15 = 1,572.58/x
  3. Step 3: Cross multiply
    1,656.82x = 2,474.15 × 1,572.58
  4. Step 4: Simplify right side
    1,656.82x = 3,890,798.81
  5. Step 5: Solve for x
    x = 3,890,798.81/1,656.82
  6. Step 6: Final answer
    x = 2,348.35

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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.