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Finding the Fourth Proportional to 2,334.16, 3,502.64 and 947.32

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Solution

The fourth proportional to 2,334.16, 3,502.64 and 947.32 is: 1,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.16 : 3,502.64 = 947.32 : x
  2. Step 2: Convert to fraction form
    2,334.16/3,502.64 = 947.32/x
  3. Step 3: Cross multiply
    2,334.16x = 3,502.64 × 947.32
  4. Step 4: Simplify right side
    2,334.16x = 3,318,120.92
  5. Step 5: Solve for x
    x = 3,318,120.92/2,334.16
  6. Step 6: Final answer
    x = 1,421.55

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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.