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Finding the Fourth Proportional to 2,291.34, 3,437.24 and 830.16

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Solution

The fourth proportional to 2,291.34, 3,437.24 and 830.16 is: 1,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.34 : 3,437.24 = 830.16 : x
  2. Step 2: Convert to fraction form
    2,291.34/3,437.24 = 830.16/x
  3. Step 3: Cross multiply
    2,291.34x = 3,437.24 × 830.16
  4. Step 4: Simplify right side
    2,291.34x = 2,853,459.16
  5. Step 5: Solve for x
    x = 2,853,459.16/2,291.34
  6. Step 6: Final answer
    x = 1,245.32

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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.