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Finding the Fourth Proportional to 3,001.59, 4,502.66 and 810.34

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Solution

The fourth proportional to 3,001.59, 4,502.66 and 810.34 is: 1,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.59 : 4,502.66 = 810.34 : x
  2. Step 2: Convert to fraction form
    3,001.59/4,502.66 = 810.34/x
  3. Step 3: Cross multiply
    3,001.59x = 4,502.66 × 810.34
  4. Step 4: Simplify right side
    3,001.59x = 3,648,670.20
  5. Step 5: Solve for x
    x = 3,648,670.20/3,001.59
  6. Step 6: Final answer
    x = 1,215.58

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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.