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Finding the Fourth Proportional to 2,967.68, 4,454.24 and 1,507.84

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Solution

The fourth proportional to 2,967.68, 4,454.24 and 1,507.84 is: 2,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.68 : 4,454.24 = 1,507.84 : x
  2. Step 2: Convert to fraction form
    2,967.68/4,454.24 = 1,507.84/x
  3. Step 3: Cross multiply
    2,967.68x = 4,454.24 × 1,507.84
  4. Step 4: Simplify right side
    2,967.68x = 6,716,281.24
  5. Step 5: Solve for x
    x = 6,716,281.24/2,967.68
  6. Step 6: Final answer
    x = 2,263.14

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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.