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Finding the Fourth Proportional to 1,522.99, 2,279.82 and 975.70

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Solution

The fourth proportional to 1,522.99, 2,279.82 and 975.70 is: 1,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.99 : 2,279.82 = 975.70 : x
  2. Step 2: Convert to fraction form
    1,522.99/2,279.82 = 975.70/x
  3. Step 3: Cross multiply
    1,522.99x = 2,279.82 × 975.70
  4. Step 4: Simplify right side
    1,522.99x = 2,224,420.37
  5. Step 5: Solve for x
    x = 2,224,420.37/1,522.99
  6. Step 6: Final answer
    x = 1,460.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.