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Finding the Fourth Proportional to 2,007.66, 2,766.15 and 1,501.41

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Solution

The fourth proportional to 2,007.66, 2,766.15 and 1,501.41 is: 2,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.66 : 2,766.15 = 1,501.41 : x
  2. Step 2: Convert to fraction form
    2,007.66/2,766.15 = 1,501.41/x
  3. Step 3: Cross multiply
    2,007.66x = 2,766.15 × 1,501.41
  4. Step 4: Simplify right side
    2,007.66x = 4,153,125.27
  5. Step 5: Solve for x
    x = 4,153,125.27/2,007.66
  6. Step 6: Final answer
    x = 2,068.64

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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.