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Finding the Fourth Proportional to 1,522.30, 2,137.70 and 1,522.30

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Solution

The fourth proportional to 1,522.30, 2,137.70 and 1,522.30 is: 2,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.30 : 2,137.70 = 1,522.30 : x
  2. Step 2: Convert to fraction form
    1,522.30/2,137.70 = 1,522.30/x
  3. Step 3: Cross multiply
    1,522.30x = 2,137.70 × 1,522.30
  4. Step 4: Simplify right side
    1,522.30x = 3,254,220.71
  5. Step 5: Solve for x
    x = 3,254,220.71/1,522.30
  6. Step 6: Final answer
    x = 2,137.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.