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Finding the Fourth Proportional to 1,460.67, 2,178.15 and 1,447.52

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Solution

The fourth proportional to 1,460.67, 2,178.15 and 1,447.52 is: 2,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.67 : 2,178.15 = 1,447.52 : x
  2. Step 2: Convert to fraction form
    1,460.67/2,178.15 = 1,447.52/x
  3. Step 3: Cross multiply
    1,460.67x = 2,178.15 × 1,447.52
  4. Step 4: Simplify right side
    1,460.67x = 3,152,904.80
  5. Step 5: Solve for x
    x = 3,152,904.80/1,460.67
  6. Step 6: Final answer
    x = 2,158.53

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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.