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Finding the Fourth Proportional to 2,245.60, 3,368.16 and 602.32

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Solution

The fourth proportional to 2,245.60, 3,368.16 and 602.32 is: 903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.60 : 3,368.16 = 602.32 : x
  2. Step 2: Convert to fraction form
    2,245.60/3,368.16 = 602.32/x
  3. Step 3: Cross multiply
    2,245.60x = 3,368.16 × 602.32
  4. Step 4: Simplify right side
    2,245.60x = 2,028,710.13
  5. Step 5: Solve for x
    x = 2,028,710.13/2,245.60
  6. Step 6: Final answer
    x = 903.42

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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.