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Finding the Fourth Proportional to 2,417.32, 3,625.98 and 593.32

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Solution

The fourth proportional to 2,417.32, 3,625.98 and 593.32 is: 889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.32 : 3,625.98 = 593.32 : x
  2. Step 2: Convert to fraction form
    2,417.32/3,625.98 = 593.32/x
  3. Step 3: Cross multiply
    2,417.32x = 3,625.98 × 593.32
  4. Step 4: Simplify right side
    2,417.32x = 2,151,345.36
  5. Step 5: Solve for x
    x = 2,151,345.36/2,417.32
  6. Step 6: Final answer
    x = 889.97

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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.