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Finding the Fourth Proportional to 2,317.42, 3,475.68 and 856.18

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Solution

The fourth proportional to 2,317.42, 3,475.68 and 856.18 is: 1,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.42 : 3,475.68 = 856.18 : x
  2. Step 2: Convert to fraction form
    2,317.42/3,475.68 = 856.18/x
  3. Step 3: Cross multiply
    2,317.42x = 3,475.68 × 856.18
  4. Step 4: Simplify right side
    2,317.42x = 2,975,807.70
  5. Step 5: Solve for x
    x = 2,975,807.70/2,317.42
  6. Step 6: Final answer
    x = 1,284.10

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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.