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Finding the Fourth Proportional to 1,470, 2,207.73 and 1,348.04

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Solution

The fourth proportional to 1,470, 2,207.73 and 1,348.04 is: 2,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470 : 2,207.73 = 1,348.04 : x
  2. Step 2: Convert to fraction form
    1,470/2,207.73 = 1,348.04/x
  3. Step 3: Cross multiply
    1,470x = 2,207.73 × 1,348.04
  4. Step 4: Simplify right side
    1,470x = 2,976,097.31
  5. Step 5: Solve for x
    x = 2,976,097.31/1,470
  6. Step 6: Final answer
    x = 2,024.56

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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.