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Finding the Fourth Proportional to 1,476.67, 2,215.73 and 929.11

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Solution

The fourth proportional to 1,476.67, 2,215.73 and 929.11 is: 1,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.67 : 2,215.73 = 929.11 : x
  2. Step 2: Convert to fraction form
    1,476.67/2,215.73 = 929.11/x
  3. Step 3: Cross multiply
    1,476.67x = 2,215.73 × 929.11
  4. Step 4: Simplify right side
    1,476.67x = 2,058,646.72
  5. Step 5: Solve for x
    x = 2,058,646.72/1,476.67
  6. Step 6: Final answer
    x = 1,394.12

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