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Finding the Fourth Proportional to 2,417.81, 3,626.72 and 593.81

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Solution

The fourth proportional to 2,417.81, 3,626.72 and 593.81 is: 890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.81 : 3,626.72 = 593.81 : x
  2. Step 2: Convert to fraction form
    2,417.81/3,626.72 = 593.81/x
  3. Step 3: Cross multiply
    2,417.81x = 3,626.72 × 593.81
  4. Step 4: Simplify right side
    2,417.81x = 2,153,593.15
  5. Step 5: Solve for x
    x = 2,153,593.15/2,417.81
  6. Step 6: Final answer
    x = 890.72

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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.