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Finding the Fourth Proportional to 2,040.86, 3,061.35 and 972.06

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Solution

The fourth proportional to 2,040.86, 3,061.35 and 972.06 is: 1,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.86 : 3,061.35 = 972.06 : x
  2. Step 2: Convert to fraction form
    2,040.86/3,061.35 = 972.06/x
  3. Step 3: Cross multiply
    2,040.86x = 3,061.35 × 972.06
  4. Step 4: Simplify right side
    2,040.86x = 2,975,800.76
  5. Step 5: Solve for x
    x = 2,975,800.76/2,040.86
  6. Step 6: Final answer
    x = 1,458.11

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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.