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Finding the Fourth Proportional to 1,870.40, 2,806.21 and 638.59

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Solution

The fourth proportional to 1,870.40, 2,806.21 and 638.59 is: 958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.40 : 2,806.21 = 638.59 : x
  2. Step 2: Convert to fraction form
    1,870.40/2,806.21 = 638.59/x
  3. Step 3: Cross multiply
    1,870.40x = 2,806.21 × 638.59
  4. Step 4: Simplify right side
    1,870.40x = 1,792,017.64
  5. Step 5: Solve for x
    x = 1,792,017.64/1,870.40
  6. Step 6: Final answer
    x = 958.09

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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.