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Finding the Fourth Proportional to 2,347.74, 3,520.40 and 1,030.95

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Solution

The fourth proportional to 2,347.74, 3,520.40 and 1,030.95 is: 1,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.74 : 3,520.40 = 1,030.95 : x
  2. Step 2: Convert to fraction form
    2,347.74/3,520.40 = 1,030.95/x
  3. Step 3: Cross multiply
    2,347.74x = 3,520.40 × 1,030.95
  4. Step 4: Simplify right side
    2,347.74x = 3,629,351.23
  5. Step 5: Solve for x
    x = 3,629,351.23/2,347.74
  6. Step 6: Final answer
    x = 1,545.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.