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Finding the Fourth Proportional to 1,306.16, 1,970.89 and 1,255.53

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Solution

The fourth proportional to 1,306.16, 1,970.89 and 1,255.53 is: 1,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.16 : 1,970.89 = 1,255.53 : x
  2. Step 2: Convert to fraction form
    1,306.16/1,970.89 = 1,255.53/x
  3. Step 3: Cross multiply
    1,306.16x = 1,970.89 × 1,255.53
  4. Step 4: Simplify right side
    1,306.16x = 2,474,510.17
  5. Step 5: Solve for x
    x = 2,474,510.17/1,306.16
  6. Step 6: Final answer
    x = 1,894.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.