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Finding the Fourth Proportional to 1,499.74, 2,238.50 and 1,407.40

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Solution

The fourth proportional to 1,499.74, 2,238.50 and 1,407.40 is: 2,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.74 : 2,238.50 = 1,407.40 : x
  2. Step 2: Convert to fraction form
    1,499.74/2,238.50 = 1,407.40/x
  3. Step 3: Cross multiply
    1,499.74x = 2,238.50 × 1,407.40
  4. Step 4: Simplify right side
    1,499.74x = 3,150,454.91
  5. Step 5: Solve for x
    x = 3,150,454.91/1,499.74
  6. Step 6: Final answer
    x = 2,100.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.