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Finding the Fourth Proportional to 2,021.40, 3,030.86 and 787.37

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Solution

The fourth proportional to 2,021.40, 3,030.86 and 787.37 is: 1,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.40 : 3,030.86 = 787.37 : x
  2. Step 2: Convert to fraction form
    2,021.40/3,030.86 = 787.37/x
  3. Step 3: Cross multiply
    2,021.40x = 3,030.86 × 787.37
  4. Step 4: Simplify right side
    2,021.40x = 2,386,411.88
  5. Step 5: Solve for x
    x = 2,386,411.88/2,021.40
  6. Step 6: Final answer
    x = 1,180.57

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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.