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Finding the Fourth Proportional to 1,807.42, 2,711.60 and 767.47

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Solution

The fourth proportional to 1,807.42, 2,711.60 and 767.47 is: 1,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.42 : 2,711.60 = 767.47 : x
  2. Step 2: Convert to fraction form
    1,807.42/2,711.60 = 767.47/x
  3. Step 3: Cross multiply
    1,807.42x = 2,711.60 × 767.47
  4. Step 4: Simplify right side
    1,807.42x = 2,081,071.65
  5. Step 5: Solve for x
    x = 2,081,071.65/1,807.42
  6. Step 6: Final answer
    x = 1,151.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.