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Finding the Fourth Proportional to 2,536.87, 3,783.61 and 2,448.70

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Solution

The fourth proportional to 2,536.87, 3,783.61 and 2,448.70 is: 3,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.87 : 3,783.61 = 2,448.70 : x
  2. Step 2: Convert to fraction form
    2,536.87/3,783.61 = 2,448.70/x
  3. Step 3: Cross multiply
    2,536.87x = 3,783.61 × 2,448.70
  4. Step 4: Simplify right side
    2,536.87x = 9,264,925.81
  5. Step 5: Solve for x
    x = 9,264,925.81/2,536.87
  6. Step 6: Final answer
    x = 3,652.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.