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Finding the Fourth Proportional to 2,333.47, 3,498.81 and 870.91

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Solution

The fourth proportional to 2,333.47, 3,498.81 and 870.91 is: 1,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.47 : 3,498.81 = 870.91 : x
  2. Step 2: Convert to fraction form
    2,333.47/3,498.81 = 870.91/x
  3. Step 3: Cross multiply
    2,333.47x = 3,498.81 × 870.91
  4. Step 4: Simplify right side
    2,333.47x = 3,047,148.62
  5. Step 5: Solve for x
    x = 3,047,148.62/2,333.47
  6. Step 6: Final answer
    x = 1,305.84

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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.