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Finding the Fourth Proportional to 1,503.51, 2,074.86 and 978.63

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Solution

The fourth proportional to 1,503.51, 2,074.86 and 978.63 is: 1,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.51 : 2,074.86 = 978.63 : x
  2. Step 2: Convert to fraction form
    1,503.51/2,074.86 = 978.63/x
  3. Step 3: Cross multiply
    1,503.51x = 2,074.86 × 978.63
  4. Step 4: Simplify right side
    1,503.51x = 2,030,520.24
  5. Step 5: Solve for x
    x = 2,030,520.24/1,503.51
  6. Step 6: Final answer
    x = 1,350.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.