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Finding the Fourth Proportional to 2,993.34, 4,130.12 and 1,814.16

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Solution

The fourth proportional to 2,993.34, 4,130.12 and 1,814.16 is: 2,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.34 : 4,130.12 = 1,814.16 : x
  2. Step 2: Convert to fraction form
    2,993.34/4,130.12 = 1,814.16/x
  3. Step 3: Cross multiply
    2,993.34x = 4,130.12 × 1,814.16
  4. Step 4: Simplify right side
    2,993.34x = 7,492,698.50
  5. Step 5: Solve for x
    x = 7,492,698.50/2,993.34
  6. Step 6: Final answer
    x = 2,503.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.