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Finding the Fourth Proportional to 2,264.13, 3,398.04 and 1,575.63

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Solution

The fourth proportional to 2,264.13, 3,398.04 and 1,575.63 is: 2,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.13 : 3,398.04 = 1,575.63 : x
  2. Step 2: Convert to fraction form
    2,264.13/3,398.04 = 1,575.63/x
  3. Step 3: Cross multiply
    2,264.13x = 3,398.04 × 1,575.63
  4. Step 4: Simplify right side
    2,264.13x = 5,354,053.77
  5. Step 5: Solve for x
    x = 5,354,053.77/2,264.13
  6. Step 6: Final answer
    x = 2,364.73

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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.