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Finding the Fourth Proportional to 2,048.80, 2,826.36 and 1,488.40

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Solution

The fourth proportional to 2,048.80, 2,826.36 and 1,488.40 is: 2,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.80 : 2,826.36 = 1,488.40 : x
  2. Step 2: Convert to fraction form
    2,048.80/2,826.36 = 1,488.40/x
  3. Step 3: Cross multiply
    2,048.80x = 2,826.36 × 1,488.40
  4. Step 4: Simplify right side
    2,048.80x = 4,206,754.22
  5. Step 5: Solve for x
    x = 4,206,754.22/2,048.80
  6. Step 6: Final answer
    x = 2,053.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.