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Finding the Fourth Proportional to 2,445.90, 3,669.05 and 690.91

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Solution

The fourth proportional to 2,445.90, 3,669.05 and 690.91 is: 1,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.90 : 3,669.05 = 690.91 : x
  2. Step 2: Convert to fraction form
    2,445.90/3,669.05 = 690.91/x
  3. Step 3: Cross multiply
    2,445.90x = 3,669.05 × 690.91
  4. Step 4: Simplify right side
    2,445.90x = 2,534,975.89
  5. Step 5: Solve for x
    x = 2,534,975.89/2,445.90
  6. Step 6: Final answer
    x = 1,036.42

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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.