Home / 1,826.60-2,740.10-1,006.07

Finding the Fourth Proportional to 1,826.60, 2,740.10 and 1,006.07

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Solution

The fourth proportional to 1,826.60, 2,740.10 and 1,006.07 is: 1,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.60 : 2,740.10 = 1,006.07 : x
  2. Step 2: Convert to fraction form
    1,826.60/2,740.10 = 1,006.07/x
  3. Step 3: Cross multiply
    1,826.60x = 2,740.10 × 1,006.07
  4. Step 4: Simplify right side
    1,826.60x = 2,756,713.68
  5. Step 5: Solve for x
    x = 2,756,713.68/1,826.60
  6. Step 6: Final answer
    x = 1,509.21

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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.