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Finding the Fourth Proportional to 3,061.81, 4,592.71 and 870.25

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Solution

The fourth proportional to 3,061.81, 4,592.71 and 870.25 is: 1,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.81 : 4,592.71 = 870.25 : x
  2. Step 2: Convert to fraction form
    3,061.81/4,592.71 = 870.25/x
  3. Step 3: Cross multiply
    3,061.81x = 4,592.71 × 870.25
  4. Step 4: Simplify right side
    3,061.81x = 3,996,804.09
  5. Step 5: Solve for x
    x = 3,996,804.09/3,061.81
  6. Step 6: Final answer
    x = 1,305.37

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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.