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Finding the Fourth Proportional to 1,874.35, 2,810.58 and 575.65

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Solution

The fourth proportional to 1,874.35, 2,810.58 and 575.65 is: 863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.35 : 2,810.58 = 575.65 : x
  2. Step 2: Convert to fraction form
    1,874.35/2,810.58 = 575.65/x
  3. Step 3: Cross multiply
    1,874.35x = 2,810.58 × 575.65
  4. Step 4: Simplify right side
    1,874.35x = 1,617,910.38
  5. Step 5: Solve for x
    x = 1,617,910.38/1,874.35
  6. Step 6: Final answer
    x = 863.18

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1.5x scale

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.