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Finding the Fourth Proportional to 1,871.47, 2,806.27 and 638.45

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Solution

The fourth proportional to 1,871.47, 2,806.27 and 638.45 is: 957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.47 : 2,806.27 = 638.45 : x
  2. Step 2: Convert to fraction form
    1,871.47/2,806.27 = 638.45/x
  3. Step 3: Cross multiply
    1,871.47x = 2,806.27 × 638.45
  4. Step 4: Simplify right side
    1,871.47x = 1,791,657.98
  5. Step 5: Solve for x
    x = 1,791,657.98/1,871.47
  6. Step 6: Final answer
    x = 957.35

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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.