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Finding the Fourth Proportional to 2,648.99, 3,973.52 and 701.18

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Solution

The fourth proportional to 2,648.99, 3,973.52 and 701.18 is: 1,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.99 : 3,973.52 = 701.18 : x
  2. Step 2: Convert to fraction form
    2,648.99/3,973.52 = 701.18/x
  3. Step 3: Cross multiply
    2,648.99x = 3,973.52 × 701.18
  4. Step 4: Simplify right side
    2,648.99x = 2,786,129.38
  5. Step 5: Solve for x
    x = 2,786,129.38/2,648.99
  6. Step 6: Final answer
    x = 1,051.77

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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.