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Finding the Fourth Proportional to 1,406.59, 1,949.29 and 1,386.77

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Solution

The fourth proportional to 1,406.59, 1,949.29 and 1,386.77 is: 1,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.59 : 1,949.29 = 1,386.77 : x
  2. Step 2: Convert to fraction form
    1,406.59/1,949.29 = 1,386.77/x
  3. Step 3: Cross multiply
    1,406.59x = 1,949.29 × 1,386.77
  4. Step 4: Simplify right side
    1,406.59x = 2,703,222.45
  5. Step 5: Solve for x
    x = 2,703,222.45/1,406.59
  6. Step 6: Final answer
    x = 1,921.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.