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Finding the Fourth Proportional to 2,695.64, 4,044.50 and 1,526.96

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Solution

The fourth proportional to 2,695.64, 4,044.50 and 1,526.96 is: 2,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.64 : 4,044.50 = 1,526.96 : x
  2. Step 2: Convert to fraction form
    2,695.64/4,044.50 = 1,526.96/x
  3. Step 3: Cross multiply
    2,695.64x = 4,044.50 × 1,526.96
  4. Step 4: Simplify right side
    2,695.64x = 6,175,789.72
  5. Step 5: Solve for x
    x = 6,175,789.72/2,695.64
  6. Step 6: Final answer
    x = 2,291.03

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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.