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Finding the Fourth Proportional to 2,316.60, 3,476.52 and 856.98

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Solution

The fourth proportional to 2,316.60, 3,476.52 and 856.98 is: 1,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.60 : 3,476.52 = 856.98 : x
  2. Step 2: Convert to fraction form
    2,316.60/3,476.52 = 856.98/x
  3. Step 3: Cross multiply
    2,316.60x = 3,476.52 × 856.98
  4. Step 4: Simplify right side
    2,316.60x = 2,979,308.11
  5. Step 5: Solve for x
    x = 2,979,308.11/2,316.60
  6. Step 6: Final answer
    x = 1,286.07

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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.