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Finding the Fourth Proportional to 1,748, 2,622 and 978.50

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Solution

The fourth proportional to 1,748, 2,622 and 978.50 is: 1,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748 : 2,622 = 978.50 : x
  2. Step 2: Convert to fraction form
    1,748/2,622 = 978.50/x
  3. Step 3: Cross multiply
    1,748x = 2,622 × 978.50
  4. Step 4: Simplify right side
    1,748x = 2,565,627
  5. Step 5: Solve for x
    x = 2,565,627/1,748
  6. Step 6: Final answer
    x = 1,467.75

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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.