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Finding the Fourth Proportional to 2,391.42, 3,592.76 and 1,406.76

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Solution

The fourth proportional to 2,391.42, 3,592.76 and 1,406.76 is: 2,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.42 : 3,592.76 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    2,391.42/3,592.76 = 1,406.76/x
  3. Step 3: Cross multiply
    2,391.42x = 3,592.76 × 1,406.76
  4. Step 4: Simplify right side
    2,391.42x = 5,054,133.09
  5. Step 5: Solve for x
    x = 5,054,133.09/2,391.42
  6. Step 6: Final answer
    x = 2,113.45

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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.