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Finding the Fourth Proportional to 2,293.34, 3,440.24 and 832.16

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Solution

The fourth proportional to 2,293.34, 3,440.24 and 832.16 is: 1,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.34 : 3,440.24 = 832.16 : x
  2. Step 2: Convert to fraction form
    2,293.34/3,440.24 = 832.16/x
  3. Step 3: Cross multiply
    2,293.34x = 3,440.24 × 832.16
  4. Step 4: Simplify right side
    2,293.34x = 2,862,830.12
  5. Step 5: Solve for x
    x = 2,862,830.12/2,293.34
  6. Step 6: Final answer
    x = 1,248.32

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1.5x scale

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.