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Finding the Fourth Proportional to 2,725.74, 4,088.64 and 2,041.32

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Solution

The fourth proportional to 2,725.74, 4,088.64 and 2,041.32 is: 3,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.74 : 4,088.64 = 2,041.32 : x
  2. Step 2: Convert to fraction form
    2,725.74/4,088.64 = 2,041.32/x
  3. Step 3: Cross multiply
    2,725.74x = 4,088.64 × 2,041.32
  4. Step 4: Simplify right side
    2,725.74x = 8,346,222.60
  5. Step 5: Solve for x
    x = 8,346,222.60/2,725.74
  6. Step 6: Final answer
    x = 3,062.00

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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.