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Finding the Fourth Proportional to 2,068.35, 3,102.50 and 607.45

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Solution

The fourth proportional to 2,068.35, 3,102.50 and 607.45 is: 911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.35 : 3,102.50 = 607.45 : x
  2. Step 2: Convert to fraction form
    2,068.35/3,102.50 = 607.45/x
  3. Step 3: Cross multiply
    2,068.35x = 3,102.50 × 607.45
  4. Step 4: Simplify right side
    2,068.35x = 1,884,607.39
  5. Step 5: Solve for x
    x = 1,884,607.39/2,068.35
  6. Step 6: Final answer
    x = 911.16

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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.