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Finding the Fourth Proportional to 1,246.66, 1,869.41 and 368.85

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Solution

The fourth proportional to 1,246.66, 1,869.41 and 368.85 is: 553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.66 : 1,869.41 = 368.85 : x
  2. Step 2: Convert to fraction form
    1,246.66/1,869.41 = 368.85/x
  3. Step 3: Cross multiply
    1,246.66x = 1,869.41 × 368.85
  4. Step 4: Simplify right side
    1,246.66x = 689,522.88
  5. Step 5: Solve for x
    x = 689,522.88/1,246.66
  6. Step 6: Final answer
    x = 553.10

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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.