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Finding the Fourth Proportional to 1,522.22, 2,281.50 and 597.20

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Solution

The fourth proportional to 1,522.22, 2,281.50 and 597.20 is: 895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.22 : 2,281.50 = 597.20 : x
  2. Step 2: Convert to fraction form
    1,522.22/2,281.50 = 597.20/x
  3. Step 3: Cross multiply
    1,522.22x = 2,281.50 × 597.20
  4. Step 4: Simplify right side
    1,522.22x = 1,362,500.39
  5. Step 5: Solve for x
    x = 1,362,500.39/1,522.22
  6. Step 6: Final answer
    x = 895.08

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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.