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Finding the Fourth Proportional to 2,041.65, 3,061.41 and 945.08

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Solution

The fourth proportional to 2,041.65, 3,061.41 and 945.08 is: 1,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.65 : 3,061.41 = 945.08 : x
  2. Step 2: Convert to fraction form
    2,041.65/3,061.41 = 945.08/x
  3. Step 3: Cross multiply
    2,041.65x = 3,061.41 × 945.08
  4. Step 4: Simplify right side
    2,041.65x = 2,893,269.99
  5. Step 5: Solve for x
    x = 2,893,269.99/2,041.65
  6. Step 6: Final answer
    x = 1,417.12

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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.