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Finding the Fourth Proportional to 2,886.21, 4,330.32 and 938.40

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Solution

The fourth proportional to 2,886.21, 4,330.32 and 938.40 is: 1,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.21 : 4,330.32 = 938.40 : x
  2. Step 2: Convert to fraction form
    2,886.21/4,330.32 = 938.40/x
  3. Step 3: Cross multiply
    2,886.21x = 4,330.32 × 938.40
  4. Step 4: Simplify right side
    2,886.21x = 4,063,572.29
  5. Step 5: Solve for x
    x = 4,063,572.29/2,886.21
  6. Step 6: Final answer
    x = 1,407.93

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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.