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Finding the Fourth Proportional to 1,513.22, 2,088.95 and 883.55

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Solution

The fourth proportional to 1,513.22, 2,088.95 and 883.55 is: 1,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.22 : 2,088.95 = 883.55 : x
  2. Step 2: Convert to fraction form
    1,513.22/2,088.95 = 883.55/x
  3. Step 3: Cross multiply
    1,513.22x = 2,088.95 × 883.55
  4. Step 4: Simplify right side
    1,513.22x = 1,845,691.77
  5. Step 5: Solve for x
    x = 1,845,691.77/1,513.22
  6. Step 6: Final answer
    x = 1,219.71

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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.