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Finding the Fourth Proportional to 2,470.49, 3,407.56 and 1,475

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Solution

The fourth proportional to 2,470.49, 3,407.56 and 1,475 is: 2,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.49 : 3,407.56 = 1,475 : x
  2. Step 2: Convert to fraction form
    2,470.49/3,407.56 = 1,475/x
  3. Step 3: Cross multiply
    2,470.49x = 3,407.56 × 1,475
  4. Step 4: Simplify right side
    2,470.49x = 5,026,151
  5. Step 5: Solve for x
    x = 5,026,151/2,470.49
  6. Step 6: Final answer
    x = 2,034.48

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Why These Related Problems?

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