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Finding the Fourth Proportional to 2,470.00, 3,703.07 and 1,236.77

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Solution

The fourth proportional to 2,470.00, 3,703.07 and 1,236.77 is: 1,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.00 : 3,703.07 = 1,236.77 : x
  2. Step 2: Convert to fraction form
    2,470.00/3,703.07 = 1,236.77/x
  3. Step 3: Cross multiply
    2,470.00x = 3,703.07 × 1,236.77
  4. Step 4: Simplify right side
    2,470.00x = 4,579,839.70
  5. Step 5: Solve for x
    x = 4,579,839.70/2,470.00
  6. Step 6: Final answer
    x = 1,854.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.