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Finding the Fourth Proportional to 1,656.05, 2,472.53 and 1,459.22

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Solution

The fourth proportional to 1,656.05, 2,472.53 and 1,459.22 is: 2,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.05 : 2,472.53 = 1,459.22 : x
  2. Step 2: Convert to fraction form
    1,656.05/2,472.53 = 1,459.22/x
  3. Step 3: Cross multiply
    1,656.05x = 2,472.53 × 1,459.22
  4. Step 4: Simplify right side
    1,656.05x = 3,607,945.57
  5. Step 5: Solve for x
    x = 3,607,945.57/1,656.05
  6. Step 6: Final answer
    x = 2,178.65

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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.