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Finding the Fourth Proportional to 1,690.85, 2,333.30 and 1,061.70

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Solution

The fourth proportional to 1,690.85, 2,333.30 and 1,061.70 is: 1,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.85 : 2,333.30 = 1,061.70 : x
  2. Step 2: Convert to fraction form
    1,690.85/2,333.30 = 1,061.70/x
  3. Step 3: Cross multiply
    1,690.85x = 2,333.30 × 1,061.70
  4. Step 4: Simplify right side
    1,690.85x = 2,477,259.30
  5. Step 5: Solve for x
    x = 2,477,259.30/1,690.85
  6. Step 6: Final answer
    x = 1,465.10

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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.