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Finding the Fourth Proportional to 1,690.30, 2,332.53 and 981.67

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Solution

The fourth proportional to 1,690.30, 2,332.53 and 981.67 is: 1,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.30 : 2,332.53 = 981.67 : x
  2. Step 2: Convert to fraction form
    1,690.30/2,332.53 = 981.67/x
  3. Step 3: Cross multiply
    1,690.30x = 2,332.53 × 981.67
  4. Step 4: Simplify right side
    1,690.30x = 2,289,774.73
  5. Step 5: Solve for x
    x = 2,289,774.73/1,690.30
  6. Step 6: Final answer
    x = 1,354.66

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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.