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Finding the Fourth Proportional to 1,522.30, 2,100.09 and 924.70

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Solution

The fourth proportional to 1,522.30, 2,100.09 and 924.70 is: 1,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.30 : 2,100.09 = 924.70 : x
  2. Step 2: Convert to fraction form
    1,522.30/2,100.09 = 924.70/x
  3. Step 3: Cross multiply
    1,522.30x = 2,100.09 × 924.70
  4. Step 4: Simplify right side
    1,522.30x = 1,941,953.22
  5. Step 5: Solve for x
    x = 1,941,953.22/1,522.30
  6. Step 6: Final answer
    x = 1,275.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.