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Finding the Fourth Proportional to 1,436.85, 2,154.81 and 706.93

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Solution

The fourth proportional to 1,436.85, 2,154.81 and 706.93 is: 1,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.85 : 2,154.81 = 706.93 : x
  2. Step 2: Convert to fraction form
    1,436.85/2,154.81 = 706.93/x
  3. Step 3: Cross multiply
    1,436.85x = 2,154.81 × 706.93
  4. Step 4: Simplify right side
    1,436.85x = 1,523,299.83
  5. Step 5: Solve for x
    x = 1,523,299.83/1,436.85
  6. Step 6: Final answer
    x = 1,060.17

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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.