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Finding the Fourth Proportional to 2,648.93, 3,970.70 and 1,088.06

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Solution

The fourth proportional to 2,648.93, 3,970.70 and 1,088.06 is: 1,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.93 : 3,970.70 = 1,088.06 : x
  2. Step 2: Convert to fraction form
    2,648.93/3,970.70 = 1,088.06/x
  3. Step 3: Cross multiply
    2,648.93x = 3,970.70 × 1,088.06
  4. Step 4: Simplify right side
    2,648.93x = 4,320,354.40
  5. Step 5: Solve for x
    x = 4,320,354.40/2,648.93
  6. Step 6: Final answer
    x = 1,630.98

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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.