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Finding the Fourth Proportional to 1,618.87, 2,430.74 and 926.32

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Solution

The fourth proportional to 1,618.87, 2,430.74 and 926.32 is: 1,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.87 : 2,430.74 = 926.32 : x
  2. Step 2: Convert to fraction form
    1,618.87/2,430.74 = 926.32/x
  3. Step 3: Cross multiply
    1,618.87x = 2,430.74 × 926.32
  4. Step 4: Simplify right side
    1,618.87x = 2,251,632.37
  5. Step 5: Solve for x
    x = 2,251,632.37/1,618.87
  6. Step 6: Final answer
    x = 1,390.87

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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.