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Finding the Fourth Proportional to 2,197.63, 3,032.73 and 1,499

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Solution

The fourth proportional to 2,197.63, 3,032.73 and 1,499 is: 2,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.63 : 3,032.73 = 1,499 : x
  2. Step 2: Convert to fraction form
    2,197.63/3,032.73 = 1,499/x
  3. Step 3: Cross multiply
    2,197.63x = 3,032.73 × 1,499
  4. Step 4: Simplify right side
    2,197.63x = 4,546,054.78
  5. Step 5: Solve for x
    x = 4,546,054.78/2,197.63
  6. Step 6: Final answer
    x = 2,068.62

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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.