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Finding the Fourth Proportional to 1,037.61, 1,556.42 and 268.11

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Solution

The fourth proportional to 1,037.61, 1,556.42 and 268.11 is: 402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.61 : 1,556.42 = 268.11 : x
  2. Step 2: Convert to fraction form
    1,037.61/1,556.42 = 268.11/x
  3. Step 3: Cross multiply
    1,037.61x = 1,556.42 × 268.11
  4. Step 4: Simplify right side
    1,037.61x = 417,291.77
  5. Step 5: Solve for x
    x = 417,291.77/1,037.61
  6. Step 6: Final answer
    x = 402.17

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