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Finding the Fourth Proportional to 2,602.06, 3,903.30 and 870.69

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Solution

The fourth proportional to 2,602.06, 3,903.30 and 870.69 is: 1,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,903.30 = 870.69 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,903.30 = 870.69/x
  3. Step 3: Cross multiply
    2,602.06x = 3,903.30 × 870.69
  4. Step 4: Simplify right side
    2,602.06x = 3,398,564.28
  5. Step 5: Solve for x
    x = 3,398,564.28/2,602.06
  6. Step 6: Final answer
    x = 1,306.11

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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.