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Finding the Fourth Proportional to 1,957.54, 2,701.29 and 1,118.38

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Solution

The fourth proportional to 1,957.54, 2,701.29 and 1,118.38 is: 1,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.54 : 2,701.29 = 1,118.38 : x
  2. Step 2: Convert to fraction form
    1,957.54/2,701.29 = 1,118.38/x
  3. Step 3: Cross multiply
    1,957.54x = 2,701.29 × 1,118.38
  4. Step 4: Simplify right side
    1,957.54x = 3,021,068.71
  5. Step 5: Solve for x
    x = 3,021,068.71/1,957.54
  6. Step 6: Final answer
    x = 1,543.30

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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.