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Finding the Fourth Proportional to 1,884.16, 2,826.15 and 497.53

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Solution

The fourth proportional to 1,884.16, 2,826.15 and 497.53 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.16 : 2,826.15 = 497.53 : x
  2. Step 2: Convert to fraction form
    1,884.16/2,826.15 = 497.53/x
  3. Step 3: Cross multiply
    1,884.16x = 2,826.15 × 497.53
  4. Step 4: Simplify right side
    1,884.16x = 1,406,094.41
  5. Step 5: Solve for x
    x = 1,406,094.41/1,884.16
  6. Step 6: Final answer
    x = 746.27

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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.