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Finding the Fourth Proportional to 2,019.90, 3,030.22 and 924.38

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Solution

The fourth proportional to 2,019.90, 3,030.22 and 924.38 is: 1,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.90 : 3,030.22 = 924.38 : x
  2. Step 2: Convert to fraction form
    2,019.90/3,030.22 = 924.38/x
  3. Step 3: Cross multiply
    2,019.90x = 3,030.22 × 924.38
  4. Step 4: Simplify right side
    2,019.90x = 2,801,074.76
  5. Step 5: Solve for x
    x = 2,801,074.76/2,019.90
  6. Step 6: Final answer
    x = 1,386.74

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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.