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Finding the Fourth Proportional to 3,113.40, 4,670.70 and 1,574.40

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Solution

The fourth proportional to 3,113.40, 4,670.70 and 1,574.40 is: 2,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.40 : 4,670.70 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    3,113.40/4,670.70 = 1,574.40/x
  3. Step 3: Cross multiply
    3,113.40x = 4,670.70 × 1,574.40
  4. Step 4: Simplify right side
    3,113.40x = 7,353,550.08
  5. Step 5: Solve for x
    x = 7,353,550.08/3,113.40
  6. Step 6: Final answer
    x = 2,361.90

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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.