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Finding the Fourth Proportional to 2,290.34, 3,430.72 and 1,464.41

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Solution

The fourth proportional to 2,290.34, 3,430.72 and 1,464.41 is: 2,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.34 : 3,430.72 = 1,464.41 : x
  2. Step 2: Convert to fraction form
    2,290.34/3,430.72 = 1,464.41/x
  3. Step 3: Cross multiply
    2,290.34x = 3,430.72 × 1,464.41
  4. Step 4: Simplify right side
    2,290.34x = 5,023,973.35
  5. Step 5: Solve for x
    x = 5,023,973.35/2,290.34
  6. Step 6: Final answer
    x = 2,193.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.