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Finding the Fourth Proportional to 1,246.56, 1,869.36 and 368.84

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Solution

The fourth proportional to 1,246.56, 1,869.36 and 368.84 is: 553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.56 : 1,869.36 = 368.84 : x
  2. Step 2: Convert to fraction form
    1,246.56/1,869.36 = 368.84/x
  3. Step 3: Cross multiply
    1,246.56x = 1,869.36 × 368.84
  4. Step 4: Simplify right side
    1,246.56x = 689,494.74
  5. Step 5: Solve for x
    x = 689,494.74/1,246.56
  6. Step 6: Final answer
    x = 553.12

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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.