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Finding the Fourth Proportional to 2,349.42, 3,522.21 and 887.82

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Solution

The fourth proportional to 2,349.42, 3,522.21 and 887.82 is: 1,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.42 : 3,522.21 = 887.82 : x
  2. Step 2: Convert to fraction form
    2,349.42/3,522.21 = 887.82/x
  3. Step 3: Cross multiply
    2,349.42x = 3,522.21 × 887.82
  4. Step 4: Simplify right side
    2,349.42x = 3,127,088.48
  5. Step 5: Solve for x
    x = 3,127,088.48/2,349.42
  6. Step 6: Final answer
    x = 1,331.00

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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.