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Finding the Fourth Proportional to 1,870.64, 2,800.92 and 1,219.76

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Solution

The fourth proportional to 1,870.64, 2,800.92 and 1,219.76 is: 1,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.64 : 2,800.92 = 1,219.76 : x
  2. Step 2: Convert to fraction form
    1,870.64/2,800.92 = 1,219.76/x
  3. Step 3: Cross multiply
    1,870.64x = 2,800.92 × 1,219.76
  4. Step 4: Simplify right side
    1,870.64x = 3,416,450.18
  5. Step 5: Solve for x
    x = 3,416,450.18/1,870.64
  6. Step 6: Final answer
    x = 1,826.35

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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.