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Finding the Fourth Proportional to 2,995.64, 4,494.06 and 1,146.68

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Solution

The fourth proportional to 2,995.64, 4,494.06 and 1,146.68 is: 1,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.64 : 4,494.06 = 1,146.68 : x
  2. Step 2: Convert to fraction form
    2,995.64/4,494.06 = 1,146.68/x
  3. Step 3: Cross multiply
    2,995.64x = 4,494.06 × 1,146.68
  4. Step 4: Simplify right side
    2,995.64x = 5,153,248.72
  5. Step 5: Solve for x
    x = 5,153,248.72/2,995.64
  6. Step 6: Final answer
    x = 1,720.25

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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.