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Finding the Fourth Proportional to 1,648.95, 2,275.61 and 1,111.32

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Solution

The fourth proportional to 1,648.95, 2,275.61 and 1,111.32 is: 1,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.95 : 2,275.61 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    1,648.95/2,275.61 = 1,111.32/x
  3. Step 3: Cross multiply
    1,648.95x = 2,275.61 × 1,111.32
  4. Step 4: Simplify right side
    1,648.95x = 2,528,930.91
  5. Step 5: Solve for x
    x = 2,528,930.91/1,648.95
  6. Step 6: Final answer
    x = 1,533.66

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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.