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Finding the Fourth Proportional to 2,041.53, 3,061.09 and 870.94

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Solution

The fourth proportional to 2,041.53, 3,061.09 and 870.94 is: 1,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.53 : 3,061.09 = 870.94 : x
  2. Step 2: Convert to fraction form
    2,041.53/3,061.09 = 870.94/x
  3. Step 3: Cross multiply
    2,041.53x = 3,061.09 × 870.94
  4. Step 4: Simplify right side
    2,041.53x = 2,666,013.89
  5. Step 5: Solve for x
    x = 2,666,013.89/2,041.53
  6. Step 6: Final answer
    x = 1,305.89

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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.