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Finding the Fourth Proportional to 2,265.47, 3,398.66 and 1,341.70

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Solution

The fourth proportional to 2,265.47, 3,398.66 and 1,341.70 is: 2,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.47 : 3,398.66 = 1,341.70 : x
  2. Step 2: Convert to fraction form
    2,265.47/3,398.66 = 1,341.70/x
  3. Step 3: Cross multiply
    2,265.47x = 3,398.66 × 1,341.70
  4. Step 4: Simplify right side
    2,265.47x = 4,559,971.95
  5. Step 5: Solve for x
    x = 4,559,971.95/2,265.47
  6. Step 6: Final answer
    x = 2,012.82

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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.