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Finding the Fourth Proportional to 2,068.04, 3,102.49 and 607.07

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Solution

The fourth proportional to 2,068.04, 3,102.49 and 607.07 is: 910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.04 : 3,102.49 = 607.07 : x
  2. Step 2: Convert to fraction form
    2,068.04/3,102.49 = 607.07/x
  3. Step 3: Cross multiply
    2,068.04x = 3,102.49 × 607.07
  4. Step 4: Simplify right side
    2,068.04x = 1,883,411.57
  5. Step 5: Solve for x
    x = 1,883,411.57/2,068.04
  6. Step 6: Final answer
    x = 910.73

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Why These Related Problems?

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