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Finding the Fourth Proportional to 2,390.68, 3,290.15 and 2,022.50

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Solution

The fourth proportional to 2,390.68, 3,290.15 and 2,022.50 is: 2,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.68 : 3,290.15 = 2,022.50 : x
  2. Step 2: Convert to fraction form
    2,390.68/3,290.15 = 2,022.50/x
  3. Step 3: Cross multiply
    2,390.68x = 3,290.15 × 2,022.50
  4. Step 4: Simplify right side
    2,390.68x = 6,654,328.38
  5. Step 5: Solve for x
    x = 6,654,328.38/2,390.68
  6. Step 6: Final answer
    x = 2,783.45

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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.