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Finding the Fourth Proportional to 2,320.45, 3,479.76 and 1,021

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Solution

The fourth proportional to 2,320.45, 3,479.76 and 1,021 is: 1,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.45 : 3,479.76 = 1,021 : x
  2. Step 2: Convert to fraction form
    2,320.45/3,479.76 = 1,021/x
  3. Step 3: Cross multiply
    2,320.45x = 3,479.76 × 1,021
  4. Step 4: Simplify right side
    2,320.45x = 3,552,834.96
  5. Step 5: Solve for x
    x = 3,552,834.96/2,320.45
  6. Step 6: Final answer
    x = 1,531.10

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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.