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Finding the Fourth Proportional to 1,870.85, 2,584.25 and 1,434.16

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Solution

The fourth proportional to 1,870.85, 2,584.25 and 1,434.16 is: 1,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.85 : 2,584.25 = 1,434.16 : x
  2. Step 2: Convert to fraction form
    1,870.85/2,584.25 = 1,434.16/x
  3. Step 3: Cross multiply
    1,870.85x = 2,584.25 × 1,434.16
  4. Step 4: Simplify right side
    1,870.85x = 3,706,222.95
  5. Step 5: Solve for x
    x = 3,706,222.95/1,870.85
  6. Step 6: Final answer
    x = 1,981.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.