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Finding the Fourth Proportional to 2,048.58, 2,827.02 and 1,117.08

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Solution

The fourth proportional to 2,048.58, 2,827.02 and 1,117.08 is: 1,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.58 : 2,827.02 = 1,117.08 : x
  2. Step 2: Convert to fraction form
    2,048.58/2,827.02 = 1,117.08/x
  3. Step 3: Cross multiply
    2,048.58x = 2,827.02 × 1,117.08
  4. Step 4: Simplify right side
    2,048.58x = 3,158,007.50
  5. Step 5: Solve for x
    x = 3,158,007.50/2,048.58
  6. Step 6: Final answer
    x = 1,541.56

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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.