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Finding the Fourth Proportional to 2,646.65, 3,652.19 and 1,451.45

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Solution

The fourth proportional to 2,646.65, 3,652.19 and 1,451.45 is: 2,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.65 : 3,652.19 = 1,451.45 : x
  2. Step 2: Convert to fraction form
    2,646.65/3,652.19 = 1,451.45/x
  3. Step 3: Cross multiply
    2,646.65x = 3,652.19 × 1,451.45
  4. Step 4: Simplify right side
    2,646.65x = 5,300,971.18
  5. Step 5: Solve for x
    x = 5,300,971.18/2,646.65
  6. Step 6: Final answer
    x = 2,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.