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Finding the Fourth Proportional to 1,884.51, 2,826.53 and 497.95

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Solution

The fourth proportional to 1,884.51, 2,826.53 and 497.95 is: 746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.51 : 2,826.53 = 497.95 : x
  2. Step 2: Convert to fraction form
    1,884.51/2,826.53 = 497.95/x
  3. Step 3: Cross multiply
    1,884.51x = 2,826.53 × 497.95
  4. Step 4: Simplify right side
    1,884.51x = 1,407,470.61
  5. Step 5: Solve for x
    x = 1,407,470.61/1,884.51
  6. Step 6: Final answer
    x = 746.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.