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Finding the Fourth Proportional to 1,569.74, 2,354.12 and 543.50

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Solution

The fourth proportional to 1,569.74, 2,354.12 and 543.50 is: 815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.74 : 2,354.12 = 543.50 : x
  2. Step 2: Convert to fraction form
    1,569.74/2,354.12 = 543.50/x
  3. Step 3: Cross multiply
    1,569.74x = 2,354.12 × 543.50
  4. Step 4: Simplify right side
    1,569.74x = 1,279,464.22
  5. Step 5: Solve for x
    x = 1,279,464.22/1,569.74
  6. Step 6: Final answer
    x = 815.08

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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.