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Finding the Fourth Proportional to 1,513.84, 2,087.04 and 1,160

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Solution

The fourth proportional to 1,513.84, 2,087.04 and 1,160 is: 1,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.84 : 2,087.04 = 1,160 : x
  2. Step 2: Convert to fraction form
    1,513.84/2,087.04 = 1,160/x
  3. Step 3: Cross multiply
    1,513.84x = 2,087.04 × 1,160
  4. Step 4: Simplify right side
    1,513.84x = 2,420,966.40
  5. Step 5: Solve for x
    x = 2,420,966.40/1,513.84
  6. Step 6: Final answer
    x = 1,599.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.