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Finding the Fourth Proportional to 2,513.84, 3,770.96 and 870.35

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Solution

The fourth proportional to 2,513.84, 3,770.96 and 870.35 is: 1,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.84 : 3,770.96 = 870.35 : x
  2. Step 2: Convert to fraction form
    2,513.84/3,770.96 = 870.35/x
  3. Step 3: Cross multiply
    2,513.84x = 3,770.96 × 870.35
  4. Step 4: Simplify right side
    2,513.84x = 3,282,031.83
  5. Step 5: Solve for x
    x = 3,282,031.83/2,513.84
  6. Step 6: Final answer
    x = 1,305.59

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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.