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Finding the Fourth Proportional to 1,533.89, 2,116.62 and 870.71

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Solution

The fourth proportional to 1,533.89, 2,116.62 and 870.71 is: 1,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.89 : 2,116.62 = 870.71 : x
  2. Step 2: Convert to fraction form
    1,533.89/2,116.62 = 870.71/x
  3. Step 3: Cross multiply
    1,533.89x = 2,116.62 × 870.71
  4. Step 4: Simplify right side
    1,533.89x = 1,842,951.62
  5. Step 5: Solve for x
    x = 1,842,951.62/1,533.89
  6. Step 6: Final answer
    x = 1,201.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.