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Finding the Fourth Proportional to 2,428.02, 3,642.66 and 696.66

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Solution

The fourth proportional to 2,428.02, 3,642.66 and 696.66 is: 1,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.02 : 3,642.66 = 696.66 : x
  2. Step 2: Convert to fraction form
    2,428.02/3,642.66 = 696.66/x
  3. Step 3: Cross multiply
    2,428.02x = 3,642.66 × 696.66
  4. Step 4: Simplify right side
    2,428.02x = 2,537,695.52
  5. Step 5: Solve for x
    x = 2,537,695.52/2,428.02
  6. Step 6: Final answer
    x = 1,045.17

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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.