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Finding the Fourth Proportional to 1,695.40, 2,541.90 and 771.40

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Solution

The fourth proportional to 1,695.40, 2,541.90 and 771.40 is: 1,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.40 : 2,541.90 = 771.40 : x
  2. Step 2: Convert to fraction form
    1,695.40/2,541.90 = 771.40/x
  3. Step 3: Cross multiply
    1,695.40x = 2,541.90 × 771.40
  4. Step 4: Simplify right side
    1,695.40x = 1,960,821.66
  5. Step 5: Solve for x
    x = 1,960,821.66/1,695.40
  6. Step 6: Final answer
    x = 1,156.55

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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.