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Finding the Fourth Proportional to 2,916.16, 4,374.88 and 864.32

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Solution

The fourth proportional to 2,916.16, 4,374.88 and 864.32 is: 1,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.16 : 4,374.88 = 864.32 : x
  2. Step 2: Convert to fraction form
    2,916.16/4,374.88 = 864.32/x
  3. Step 3: Cross multiply
    2,916.16x = 4,374.88 × 864.32
  4. Step 4: Simplify right side
    2,916.16x = 3,781,296.28
  5. Step 5: Solve for x
    x = 3,781,296.28/2,916.16
  6. Step 6: Final answer
    x = 1,296.67

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Why These Related Problems?

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