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Finding the Fourth Proportional to 2,638.58, 3,646.06 and 2,510.48

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Solution

The fourth proportional to 2,638.58, 3,646.06 and 2,510.48 is: 3,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.58 : 3,646.06 = 2,510.48 : x
  2. Step 2: Convert to fraction form
    2,638.58/3,646.06 = 2,510.48/x
  3. Step 3: Cross multiply
    2,638.58x = 3,646.06 × 2,510.48
  4. Step 4: Simplify right side
    2,638.58x = 9,153,360.71
  5. Step 5: Solve for x
    x = 9,153,360.71/2,638.58
  6. Step 6: Final answer
    x = 3,469.05

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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.