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Finding the Fourth Proportional to 3,437.40, 5,154.56 and 971.64

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Solution

The fourth proportional to 3,437.40, 5,154.56 and 971.64 is: 1,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.40 : 5,154.56 = 971.64 : x
  2. Step 2: Convert to fraction form
    3,437.40/5,154.56 = 971.64/x
  3. Step 3: Cross multiply
    3,437.40x = 5,154.56 × 971.64
  4. Step 4: Simplify right side
    3,437.40x = 5,008,375.46
  5. Step 5: Solve for x
    x = 5,008,375.46/3,437.40
  6. Step 6: Final answer
    x = 1,457.03

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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.