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Finding the Fourth Proportional to 1,690.98, 2,329.65 and 1,441.50

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Solution

The fourth proportional to 1,690.98, 2,329.65 and 1,441.50 is: 1,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.98 : 2,329.65 = 1,441.50 : x
  2. Step 2: Convert to fraction form
    1,690.98/2,329.65 = 1,441.50/x
  3. Step 3: Cross multiply
    1,690.98x = 2,329.65 × 1,441.50
  4. Step 4: Simplify right side
    1,690.98x = 3,358,190.48
  5. Step 5: Solve for x
    x = 3,358,190.48/1,690.98
  6. Step 6: Final answer
    x = 1,985.94

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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.