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Finding the Fourth Proportional to 2,001.79, 2,762.48 and 1,117.64

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Solution

The fourth proportional to 2,001.79, 2,762.48 and 1,117.64 is: 1,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.79 : 2,762.48 = 1,117.64 : x
  2. Step 2: Convert to fraction form
    2,001.79/2,762.48 = 1,117.64/x
  3. Step 3: Cross multiply
    2,001.79x = 2,762.48 × 1,117.64
  4. Step 4: Simplify right side
    2,001.79x = 3,087,438.75
  5. Step 5: Solve for x
    x = 3,087,438.75/2,001.79
  6. Step 6: Final answer
    x = 1,542.34

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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.