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Finding the Fourth Proportional to 2,881.96, 4,322.88 and 934.16

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Solution

The fourth proportional to 2,881.96, 4,322.88 and 934.16 is: 1,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.96 : 4,322.88 = 934.16 : x
  2. Step 2: Convert to fraction form
    2,881.96/4,322.88 = 934.16/x
  3. Step 3: Cross multiply
    2,881.96x = 4,322.88 × 934.16
  4. Step 4: Simplify right side
    2,881.96x = 4,038,261.58
  5. Step 5: Solve for x
    x = 4,038,261.58/2,881.96
  6. Step 6: Final answer
    x = 1,401.22

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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.