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Finding the Fourth Proportional to 1,503.69, 2,074.25 and 1,060.83

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Solution

The fourth proportional to 1,503.69, 2,074.25 and 1,060.83 is: 1,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.69 : 2,074.25 = 1,060.83 : x
  2. Step 2: Convert to fraction form
    1,503.69/2,074.25 = 1,060.83/x
  3. Step 3: Cross multiply
    1,503.69x = 2,074.25 × 1,060.83
  4. Step 4: Simplify right side
    1,503.69x = 2,200,421.32
  5. Step 5: Solve for x
    x = 2,200,421.32/1,503.69
  6. Step 6: Final answer
    x = 1,463.35

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