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Finding the Fourth Proportional to 1,409.16, 2,113.74 and 1,023.24

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Solution

The fourth proportional to 1,409.16, 2,113.74 and 1,023.24 is: 1,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.16 : 2,113.74 = 1,023.24 : x
  2. Step 2: Convert to fraction form
    1,409.16/2,113.74 = 1,023.24/x
  3. Step 3: Cross multiply
    1,409.16x = 2,113.74 × 1,023.24
  4. Step 4: Simplify right side
    1,409.16x = 2,162,863.32
  5. Step 5: Solve for x
    x = 2,162,863.32/1,409.16
  6. Step 6: Final answer
    x = 1,534.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.