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Finding the Fourth Proportional to 2,990.32, 4,486.08 and 1,042

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Solution

The fourth proportional to 2,990.32, 4,486.08 and 1,042 is: 1,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.32 : 4,486.08 = 1,042 : x
  2. Step 2: Convert to fraction form
    2,990.32/4,486.08 = 1,042/x
  3. Step 3: Cross multiply
    2,990.32x = 4,486.08 × 1,042
  4. Step 4: Simplify right side
    2,990.32x = 4,674,495.36
  5. Step 5: Solve for x
    x = 4,674,495.36/2,990.32
  6. Step 6: Final answer
    x = 1,563.21

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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.