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Finding the Fourth Proportional to 1,856.40, 2,784.60 and 977.70

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Solution

The fourth proportional to 1,856.40, 2,784.60 and 977.70 is: 1,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.40 : 2,784.60 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,856.40/2,784.60 = 977.70/x
  3. Step 3: Cross multiply
    1,856.40x = 2,784.60 × 977.70
  4. Step 4: Simplify right side
    1,856.40x = 2,722,503.42
  5. Step 5: Solve for x
    x = 2,722,503.42/1,856.40
  6. Step 6: Final answer
    x = 1,466.55

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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.