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Finding the Fourth Proportional to 2,599.65, 3,901.46 and 2,085.84

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Solution

The fourth proportional to 2,599.65, 3,901.46 and 2,085.84 is: 3,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.65 : 3,901.46 = 2,085.84 : x
  2. Step 2: Convert to fraction form
    2,599.65/3,901.46 = 2,085.84/x
  3. Step 3: Cross multiply
    2,599.65x = 3,901.46 × 2,085.84
  4. Step 4: Simplify right side
    2,599.65x = 8,137,810.90
  5. Step 5: Solve for x
    x = 8,137,810.90/2,599.65
  6. Step 6: Final answer
    x = 3,130.35

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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.