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Finding the Fourth Proportional to 1,929.79, 2,663.11 and 1,045.59

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Solution

The fourth proportional to 1,929.79, 2,663.11 and 1,045.59 is: 1,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.79 : 2,663.11 = 1,045.59 : x
  2. Step 2: Convert to fraction form
    1,929.79/2,663.11 = 1,045.59/x
  3. Step 3: Cross multiply
    1,929.79x = 2,663.11 × 1,045.59
  4. Step 4: Simplify right side
    1,929.79x = 2,784,521.18
  5. Step 5: Solve for x
    x = 2,784,521.18/1,929.79
  6. Step 6: Final answer
    x = 1,442.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.