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Finding the Fourth Proportional to 2,424.64, 3,347.04 and 1,494.40

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Solution

The fourth proportional to 2,424.64, 3,347.04 and 1,494.40 is: 2,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.64 : 3,347.04 = 1,494.40 : x
  2. Step 2: Convert to fraction form
    2,424.64/3,347.04 = 1,494.40/x
  3. Step 3: Cross multiply
    2,424.64x = 3,347.04 × 1,494.40
  4. Step 4: Simplify right side
    2,424.64x = 5,001,816.58
  5. Step 5: Solve for x
    x = 5,001,816.58/2,424.64
  6. Step 6: Final answer
    x = 2,062.91

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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.