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Finding the Fourth Proportional to 3,319.31, 4,580.93 and 1,827.51

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Solution

The fourth proportional to 3,319.31, 4,580.93 and 1,827.51 is: 2,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.31 : 4,580.93 = 1,827.51 : x
  2. Step 2: Convert to fraction form
    3,319.31/4,580.93 = 1,827.51/x
  3. Step 3: Cross multiply
    3,319.31x = 4,580.93 × 1,827.51
  4. Step 4: Simplify right side
    3,319.31x = 8,371,695.38
  5. Step 5: Solve for x
    x = 8,371,695.38/3,319.31
  6. Step 6: Final answer
    x = 2,522.12

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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.