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Finding the Fourth Proportional to 2,048.80, 2,827.28 and 1,117.28

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Solution

The fourth proportional to 2,048.80, 2,827.28 and 1,117.28 is: 1,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.80 : 2,827.28 = 1,117.28 : x
  2. Step 2: Convert to fraction form
    2,048.80/2,827.28 = 1,117.28/x
  3. Step 3: Cross multiply
    2,048.80x = 2,827.28 × 1,117.28
  4. Step 4: Simplify right side
    2,048.80x = 3,158,863.40
  5. Step 5: Solve for x
    x = 3,158,863.40/2,048.80
  6. Step 6: Final answer
    x = 1,541.81

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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.