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Finding the Fourth Proportional to 1,406.50, 1,942.05 and 1,113.28

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Solution

The fourth proportional to 1,406.50, 1,942.05 and 1,113.28 is: 1,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.50 : 1,942.05 = 1,113.28 : x
  2. Step 2: Convert to fraction form
    1,406.50/1,942.05 = 1,113.28/x
  3. Step 3: Cross multiply
    1,406.50x = 1,942.05 × 1,113.28
  4. Step 4: Simplify right side
    1,406.50x = 2,162,045.42
  5. Step 5: Solve for x
    x = 2,162,045.42/1,406.50
  6. Step 6: Final answer
    x = 1,537.18

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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.