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Finding the Fourth Proportional to 1,909.40, 2,629.14 and 1,437.98

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Solution

The fourth proportional to 1,909.40, 2,629.14 and 1,437.98 is: 1,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.40 : 2,629.14 = 1,437.98 : x
  2. Step 2: Convert to fraction form
    1,909.40/2,629.14 = 1,437.98/x
  3. Step 3: Cross multiply
    1,909.40x = 2,629.14 × 1,437.98
  4. Step 4: Simplify right side
    1,909.40x = 3,780,650.74
  5. Step 5: Solve for x
    x = 3,780,650.74/1,909.40
  6. Step 6: Final answer
    x = 1,980.02

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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.