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Finding the Fourth Proportional to 2,818.42, 4,225.62 and 869.54

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Solution

The fourth proportional to 2,818.42, 4,225.62 and 869.54 is: 1,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.42 : 4,225.62 = 869.54 : x
  2. Step 2: Convert to fraction form
    2,818.42/4,225.62 = 869.54/x
  3. Step 3: Cross multiply
    2,818.42x = 4,225.62 × 869.54
  4. Step 4: Simplify right side
    2,818.42x = 3,674,345.61
  5. Step 5: Solve for x
    x = 3,674,345.61/2,818.42
  6. Step 6: Final answer
    x = 1,303.69

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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.