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Finding the Fourth Proportional to 1,465.95, 2,207.46 and 1,057.89

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Solution

The fourth proportional to 1,465.95, 2,207.46 and 1,057.89 is: 1,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.95 : 2,207.46 = 1,057.89 : x
  2. Step 2: Convert to fraction form
    1,465.95/2,207.46 = 1,057.89/x
  3. Step 3: Cross multiply
    1,465.95x = 2,207.46 × 1,057.89
  4. Step 4: Simplify right side
    1,465.95x = 2,335,249.86
  5. Step 5: Solve for x
    x = 2,335,249.86/1,465.95
  6. Step 6: Final answer
    x = 1,592.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.