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Finding the Fourth Proportional to 1,966.04, 2,946.94 and 925.40

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Solution

The fourth proportional to 1,966.04, 2,946.94 and 925.40 is: 1,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.04 : 2,946.94 = 925.40 : x
  2. Step 2: Convert to fraction form
    1,966.04/2,946.94 = 925.40/x
  3. Step 3: Cross multiply
    1,966.04x = 2,946.94 × 925.40
  4. Step 4: Simplify right side
    1,966.04x = 2,727,098.28
  5. Step 5: Solve for x
    x = 2,727,098.28/1,966.04
  6. Step 6: Final answer
    x = 1,387.10

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Why These Related Problems?

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