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Finding the Fourth Proportional to 1,294.79, 1,929.72 and 1,292.74

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Solution

The fourth proportional to 1,294.79, 1,929.72 and 1,292.74 is: 1,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.79 : 1,929.72 = 1,292.74 : x
  2. Step 2: Convert to fraction form
    1,294.79/1,929.72 = 1,292.74/x
  3. Step 3: Cross multiply
    1,294.79x = 1,929.72 × 1,292.74
  4. Step 4: Simplify right side
    1,294.79x = 2,494,626.23
  5. Step 5: Solve for x
    x = 2,494,626.23/1,294.79
  6. Step 6: Final answer
    x = 1,926.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.