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Finding the Fourth Proportional to 1,513.90, 2,089.34 and 1,017.58

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Solution

The fourth proportional to 1,513.90, 2,089.34 and 1,017.58 is: 1,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.90 : 2,089.34 = 1,017.58 : x
  2. Step 2: Convert to fraction form
    1,513.90/2,089.34 = 1,017.58/x
  3. Step 3: Cross multiply
    1,513.90x = 2,089.34 × 1,017.58
  4. Step 4: Simplify right side
    1,513.90x = 2,126,070.60
  5. Step 5: Solve for x
    x = 2,126,070.60/1,513.90
  6. Step 6: Final answer
    x = 1,404.37

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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.