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Finding the Fourth Proportional to 2,453.16, 3,680.01 and 698.25

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Solution

The fourth proportional to 2,453.16, 3,680.01 and 698.25 is: 1,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.16 : 3,680.01 = 698.25 : x
  2. Step 2: Convert to fraction form
    2,453.16/3,680.01 = 698.25/x
  3. Step 3: Cross multiply
    2,453.16x = 3,680.01 × 698.25
  4. Step 4: Simplify right side
    2,453.16x = 2,569,547.77
  5. Step 5: Solve for x
    x = 2,569,547.77/2,453.16
  6. Step 6: Final answer
    x = 1,047.44

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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.