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Finding the Fourth Proportional to 2,041.06, 3,061.72 and 870.40

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Solution

The fourth proportional to 2,041.06, 3,061.72 and 870.40 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.06 : 3,061.72 = 870.40 : x
  2. Step 2: Convert to fraction form
    2,041.06/3,061.72 = 870.40/x
  3. Step 3: Cross multiply
    2,041.06x = 3,061.72 × 870.40
  4. Step 4: Simplify right side
    2,041.06x = 2,664,921.09
  5. Step 5: Solve for x
    x = 2,664,921.09/2,041.06
  6. Step 6: Final answer
    x = 1,305.66

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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.