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Finding the Fourth Proportional to 1,886.85, 2,830.14 and 912.69

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Solution

The fourth proportional to 1,886.85, 2,830.14 and 912.69 is: 1,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.85 : 2,830.14 = 912.69 : x
  2. Step 2: Convert to fraction form
    1,886.85/2,830.14 = 912.69/x
  3. Step 3: Cross multiply
    1,886.85x = 2,830.14 × 912.69
  4. Step 4: Simplify right side
    1,886.85x = 2,583,040.48
  5. Step 5: Solve for x
    x = 2,583,040.48/1,886.85
  6. Step 6: Final answer
    x = 1,368.97

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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.