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Finding the Fourth Proportional to 3,001.42, 4,501.80 and 810.36

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Solution

The fourth proportional to 3,001.42, 4,501.80 and 810.36 is: 1,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.42 : 4,501.80 = 810.36 : x
  2. Step 2: Convert to fraction form
    3,001.42/4,501.80 = 810.36/x
  3. Step 3: Cross multiply
    3,001.42x = 4,501.80 × 810.36
  4. Step 4: Simplify right side
    3,001.42x = 3,648,078.65
  5. Step 5: Solve for x
    x = 3,648,078.65/3,001.42
  6. Step 6: Final answer
    x = 1,215.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.