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Finding the Fourth Proportional to 2,693.68, 3,717.25 and 1,498.66

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Solution

The fourth proportional to 2,693.68, 3,717.25 and 1,498.66 is: 2,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.68 : 3,717.25 = 1,498.66 : x
  2. Step 2: Convert to fraction form
    2,693.68/3,717.25 = 1,498.66/x
  3. Step 3: Cross multiply
    2,693.68x = 3,717.25 × 1,498.66
  4. Step 4: Simplify right side
    2,693.68x = 5,570,867.81
  5. Step 5: Solve for x
    x = 5,570,867.81/2,693.68
  6. Step 6: Final answer
    x = 2,068.13

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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.