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Finding the Fourth Proportional to 1,701.40, 2,347.26 and 1,038.02

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Solution

The fourth proportional to 1,701.40, 2,347.26 and 1,038.02 is: 1,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.40 : 2,347.26 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    1,701.40/2,347.26 = 1,038.02/x
  3. Step 3: Cross multiply
    1,701.40x = 2,347.26 × 1,038.02
  4. Step 4: Simplify right side
    1,701.40x = 2,436,502.83
  5. Step 5: Solve for x
    x = 2,436,502.83/1,701.40
  6. Step 6: Final answer
    x = 1,432.06

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