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Finding the Fourth Proportional to 1,438.66, 1,985.61 and 1,127.62

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Solution

The fourth proportional to 1,438.66, 1,985.61 and 1,127.62 is: 1,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.66 : 1,985.61 = 1,127.62 : x
  2. Step 2: Convert to fraction form
    1,438.66/1,985.61 = 1,127.62/x
  3. Step 3: Cross multiply
    1,438.66x = 1,985.61 × 1,127.62
  4. Step 4: Simplify right side
    1,438.66x = 2,239,013.55
  5. Step 5: Solve for x
    x = 2,239,013.55/1,438.66
  6. Step 6: Final answer
    x = 1,556.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.