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Finding the Fourth Proportional to 1,642.30, 2,464.08 and 602.36

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Solution

The fourth proportional to 1,642.30, 2,464.08 and 602.36 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.30 : 2,464.08 = 602.36 : x
  2. Step 2: Convert to fraction form
    1,642.30/2,464.08 = 602.36/x
  3. Step 3: Cross multiply
    1,642.30x = 2,464.08 × 602.36
  4. Step 4: Simplify right side
    1,642.30x = 1,484,263.23
  5. Step 5: Solve for x
    x = 1,484,263.23/1,642.30
  6. Step 6: Final answer
    x = 903.77

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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.