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Finding the Fourth Proportional to 2,315.57, 3,465.16 and 2,042.20

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Solution

The fourth proportional to 2,315.57, 3,465.16 and 2,042.20 is: 3,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.57 : 3,465.16 = 2,042.20 : x
  2. Step 2: Convert to fraction form
    2,315.57/3,465.16 = 2,042.20/x
  3. Step 3: Cross multiply
    2,315.57x = 3,465.16 × 2,042.20
  4. Step 4: Simplify right side
    2,315.57x = 7,076,535.98
  5. Step 5: Solve for x
    x = 7,076,535.98/2,315.57
  6. Step 6: Final answer
    x = 3,056.06

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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.