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Finding the Fourth Proportional to 1,547.93, 2,321.92 and 452.40

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Solution

The fourth proportional to 1,547.93, 2,321.92 and 452.40 is: 678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.93 : 2,321.92 = 452.40 : x
  2. Step 2: Convert to fraction form
    1,547.93/2,321.92 = 452.40/x
  3. Step 3: Cross multiply
    1,547.93x = 2,321.92 × 452.40
  4. Step 4: Simplify right side
    1,547.93x = 1,050,436.61
  5. Step 5: Solve for x
    x = 1,050,436.61/1,547.93
  6. Step 6: Final answer
    x = 678.61

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Why These Related Problems?

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