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Finding the Fourth Proportional to 2,358.56, 3,532.45 and 1,126.84

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Solution

The fourth proportional to 2,358.56, 3,532.45 and 1,126.84 is: 1,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.56 : 3,532.45 = 1,126.84 : x
  2. Step 2: Convert to fraction form
    2,358.56/3,532.45 = 1,126.84/x
  3. Step 3: Cross multiply
    2,358.56x = 3,532.45 × 1,126.84
  4. Step 4: Simplify right side
    2,358.56x = 3,980,482.66
  5. Step 5: Solve for x
    x = 3,980,482.66/2,358.56
  6. Step 6: Final answer
    x = 1,687.67

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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.