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Finding the Fourth Proportional to 1,538.81, 2,307.14 and 808.91

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Solution

The fourth proportional to 1,538.81, 2,307.14 and 808.91 is: 1,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.81 : 2,307.14 = 808.91 : x
  2. Step 2: Convert to fraction form
    1,538.81/2,307.14 = 808.91/x
  3. Step 3: Cross multiply
    1,538.81x = 2,307.14 × 808.91
  4. Step 4: Simplify right side
    1,538.81x = 1,866,268.62
  5. Step 5: Solve for x
    x = 1,866,268.62/1,538.81
  6. Step 6: Final answer
    x = 1,212.80

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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.