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Finding the Fourth Proportional to 2,696.74, 4,041.35 and 2,038.08

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Solution

The fourth proportional to 2,696.74, 4,041.35 and 2,038.08 is: 3,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.74 : 4,041.35 = 2,038.08 : x
  2. Step 2: Convert to fraction form
    2,696.74/4,041.35 = 2,038.08/x
  3. Step 3: Cross multiply
    2,696.74x = 4,041.35 × 2,038.08
  4. Step 4: Simplify right side
    2,696.74x = 8,236,574.40
  5. Step 5: Solve for x
    x = 8,236,574.40/2,696.74
  6. Step 6: Final answer
    x = 3,054.27

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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.