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Finding the Fourth Proportional to 3,024.78, 4,538.47 and 1,465.96

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Solution

The fourth proportional to 3,024.78, 4,538.47 and 1,465.96 is: 2,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.78 : 4,538.47 = 1,465.96 : x
  2. Step 2: Convert to fraction form
    3,024.78/4,538.47 = 1,465.96/x
  3. Step 3: Cross multiply
    3,024.78x = 4,538.47 × 1,465.96
  4. Step 4: Simplify right side
    3,024.78x = 6,653,215.48
  5. Step 5: Solve for x
    x = 6,653,215.48/3,024.78
  6. Step 6: Final answer
    x = 2,199.57

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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.