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Finding the Fourth Proportional to 3,001.65, 4,501.71 and 2,064.40

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Solution

The fourth proportional to 3,001.65, 4,501.71 and 2,064.40 is: 3,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.65 : 4,501.71 = 2,064.40 : x
  2. Step 2: Convert to fraction form
    3,001.65/4,501.71 = 2,064.40/x
  3. Step 3: Cross multiply
    3,001.65x = 4,501.71 × 2,064.40
  4. Step 4: Simplify right side
    3,001.65x = 9,293,330.12
  5. Step 5: Solve for x
    x = 9,293,330.12/3,001.65
  6. Step 6: Final answer
    x = 3,096.07

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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.