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Finding the Fourth Proportional to 1,701.30, 2,347.97 and 1,038

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Solution

The fourth proportional to 1,701.30, 2,347.97 and 1,038 is: 1,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.30 : 2,347.97 = 1,038 : x
  2. Step 2: Convert to fraction form
    1,701.30/2,347.97 = 1,038/x
  3. Step 3: Cross multiply
    1,701.30x = 2,347.97 × 1,038
  4. Step 4: Simplify right side
    1,701.30x = 2,437,187.67
  5. Step 5: Solve for x
    x = 2,437,187.67/1,701.30
  6. Step 6: Final answer
    x = 1,432.54

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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.