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Finding the Fourth Proportional to 2,648.57, 3,653.34 and 2,088.86

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Solution

The fourth proportional to 2,648.57, 3,653.34 and 2,088.86 is: 2,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.57 : 3,653.34 = 2,088.86 : x
  2. Step 2: Convert to fraction form
    2,648.57/3,653.34 = 2,088.86/x
  3. Step 3: Cross multiply
    2,648.57x = 3,653.34 × 2,088.86
  4. Step 4: Simplify right side
    2,648.57x = 7,631,315.79
  5. Step 5: Solve for x
    x = 7,631,315.79/2,648.57
  6. Step 6: Final answer
    x = 2,881.30

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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.