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Finding the Fourth Proportional to 1,513.89, 2,088.99 and 1,164.78

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Solution

The fourth proportional to 1,513.89, 2,088.99 and 1,164.78 is: 1,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.89 : 2,088.99 = 1,164.78 : x
  2. Step 2: Convert to fraction form
    1,513.89/2,088.99 = 1,164.78/x
  3. Step 3: Cross multiply
    1,513.89x = 2,088.99 × 1,164.78
  4. Step 4: Simplify right side
    1,513.89x = 2,433,213.77
  5. Step 5: Solve for x
    x = 2,433,213.77/1,513.89
  6. Step 6: Final answer
    x = 1,607.26

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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.