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Finding the Fourth Proportional to 1,968.08, 2,952.35 and 652.01

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Solution

The fourth proportional to 1,968.08, 2,952.35 and 652.01 is: 978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.08 : 2,952.35 = 652.01 : x
  2. Step 2: Convert to fraction form
    1,968.08/2,952.35 = 652.01/x
  3. Step 3: Cross multiply
    1,968.08x = 2,952.35 × 652.01
  4. Step 4: Simplify right side
    1,968.08x = 1,924,943.70
  5. Step 5: Solve for x
    x = 1,924,943.70/1,968.08
  6. Step 6: Final answer
    x = 978.08

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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.