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Finding the Fourth Proportional to 2,904.22, 4,356.62 and 929.35

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Solution

The fourth proportional to 2,904.22, 4,356.62 and 929.35 is: 1,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.22 : 4,356.62 = 929.35 : x
  2. Step 2: Convert to fraction form
    2,904.22/4,356.62 = 929.35/x
  3. Step 3: Cross multiply
    2,904.22x = 4,356.62 × 929.35
  4. Step 4: Simplify right side
    2,904.22x = 4,048,841.33
  5. Step 5: Solve for x
    x = 4,048,841.33/2,904.22
  6. Step 6: Final answer
    x = 1,394.12

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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.