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Finding the Fourth Proportional to 1,695.40, 2,543.49 and 541.15

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Solution

The fourth proportional to 1,695.40, 2,543.49 and 541.15 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.40 : 2,543.49 = 541.15 : x
  2. Step 2: Convert to fraction form
    1,695.40/2,543.49 = 541.15/x
  3. Step 3: Cross multiply
    1,695.40x = 2,543.49 × 541.15
  4. Step 4: Simplify right side
    1,695.40x = 1,376,409.61
  5. Step 5: Solve for x
    x = 1,376,409.61/1,695.40
  6. Step 6: Final answer
    x = 811.85

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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.