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Finding the Fourth Proportional to 1,870.48, 2,805.72 and 1,867.78

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Solution

The fourth proportional to 1,870.48, 2,805.72 and 1,867.78 is: 2,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.48 : 2,805.72 = 1,867.78 : x
  2. Step 2: Convert to fraction form
    1,870.48/2,805.72 = 1,867.78/x
  3. Step 3: Cross multiply
    1,870.48x = 2,805.72 × 1,867.78
  4. Step 4: Simplify right side
    1,870.48x = 5,240,467.70
  5. Step 5: Solve for x
    x = 5,240,467.70/1,870.48
  6. Step 6: Final answer
    x = 2,801.67

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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.