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Finding the Fourth Proportional to 2,007.77, 2,995.84 and 1,788.53

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Solution

The fourth proportional to 2,007.77, 2,995.84 and 1,788.53 is: 2,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.77 : 2,995.84 = 1,788.53 : x
  2. Step 2: Convert to fraction form
    2,007.77/2,995.84 = 1,788.53/x
  3. Step 3: Cross multiply
    2,007.77x = 2,995.84 × 1,788.53
  4. Step 4: Simplify right side
    2,007.77x = 5,358,140.77
  5. Step 5: Solve for x
    x = 5,358,140.77/2,007.77
  6. Step 6: Final answer
    x = 2,668.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.