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Finding the Fourth Proportional to 1,969.24, 2,953.10 and 652.58

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Solution

The fourth proportional to 1,969.24, 2,953.10 and 652.58 is: 978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.24 : 2,953.10 = 652.58 : x
  2. Step 2: Convert to fraction form
    1,969.24/2,953.10 = 652.58/x
  3. Step 3: Cross multiply
    1,969.24x = 2,953.10 × 652.58
  4. Step 4: Simplify right side
    1,969.24x = 1,927,134.00
  5. Step 5: Solve for x
    x = 1,927,134.00/1,969.24
  6. Step 6: Final answer
    x = 978.62

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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.