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Finding the Fourth Proportional to 1,624.16, 2,434.36 and 698.32

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Solution

The fourth proportional to 1,624.16, 2,434.36 and 698.32 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.16 : 2,434.36 = 698.32 : x
  2. Step 2: Convert to fraction form
    1,624.16/2,434.36 = 698.32/x
  3. Step 3: Cross multiply
    1,624.16x = 2,434.36 × 698.32
  4. Step 4: Simplify right side
    1,624.16x = 1,699,962.28
  5. Step 5: Solve for x
    x = 1,699,962.28/1,624.16
  6. Step 6: Final answer
    x = 1,046.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.