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Finding the Fourth Proportional to 2,001.40, 2,762.02 and 1,117.20

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Solution

The fourth proportional to 2,001.40, 2,762.02 and 1,117.20 is: 1,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.40 : 2,762.02 = 1,117.20 : x
  2. Step 2: Convert to fraction form
    2,001.40/2,762.02 = 1,117.20/x
  3. Step 3: Cross multiply
    2,001.40x = 2,762.02 × 1,117.20
  4. Step 4: Simplify right side
    2,001.40x = 3,085,728.74
  5. Step 5: Solve for x
    x = 3,085,728.74/2,001.40
  6. Step 6: Final answer
    x = 1,541.79

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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.