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Finding the Fourth Proportional to 2,068.02, 3,102.03 and 508.03

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Solution

The fourth proportional to 2,068.02, 3,102.03 and 508.03 is: 762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.02 : 3,102.03 = 508.03 : x
  2. Step 2: Convert to fraction form
    2,068.02/3,102.03 = 508.03/x
  3. Step 3: Cross multiply
    2,068.02x = 3,102.03 × 508.03
  4. Step 4: Simplify right side
    2,068.02x = 1,575,924.30
  5. Step 5: Solve for x
    x = 1,575,924.30/2,068.02
  6. Step 6: Final answer
    x = 762.05

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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.