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Finding the Fourth Proportional to 3,244.42, 4,477.02 and 1,827.65

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Solution

The fourth proportional to 3,244.42, 4,477.02 and 1,827.65 is: 2,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.42 : 4,477.02 = 1,827.65 : x
  2. Step 2: Convert to fraction form
    3,244.42/4,477.02 = 1,827.65/x
  3. Step 3: Cross multiply
    3,244.42x = 4,477.02 × 1,827.65
  4. Step 4: Simplify right side
    3,244.42x = 8,182,430.17
  5. Step 5: Solve for x
    x = 8,182,430.17/3,244.42
  6. Step 6: Final answer
    x = 2,522.00

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