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Finding the Fourth Proportional to 1,513.82, 2,271.95 and 783.61

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Solution

The fourth proportional to 1,513.82, 2,271.95 and 783.61 is: 1,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.82 : 2,271.95 = 783.61 : x
  2. Step 2: Convert to fraction form
    1,513.82/2,271.95 = 783.61/x
  3. Step 3: Cross multiply
    1,513.82x = 2,271.95 × 783.61
  4. Step 4: Simplify right side
    1,513.82x = 1,780,316.08
  5. Step 5: Solve for x
    x = 1,780,316.08/1,513.82
  6. Step 6: Final answer
    x = 1,176.04

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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.