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Finding the Fourth Proportional to 1,547.85, 2,322.26 and 452.24

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Solution

The fourth proportional to 1,547.85, 2,322.26 and 452.24 is: 678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.85 : 2,322.26 = 452.24 : x
  2. Step 2: Convert to fraction form
    1,547.85/2,322.26 = 452.24/x
  3. Step 3: Cross multiply
    1,547.85x = 2,322.26 × 452.24
  4. Step 4: Simplify right side
    1,547.85x = 1,050,218.86
  5. Step 5: Solve for x
    x = 1,050,218.86/1,547.85
  6. Step 6: Final answer
    x = 678.50

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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.