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Finding the Fourth Proportional to 3,111.04, 4,666.55 and 919.59

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Solution

The fourth proportional to 3,111.04, 4,666.55 and 919.59 is: 1,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.04 : 4,666.55 = 919.59 : x
  2. Step 2: Convert to fraction form
    3,111.04/4,666.55 = 919.59/x
  3. Step 3: Cross multiply
    3,111.04x = 4,666.55 × 919.59
  4. Step 4: Simplify right side
    3,111.04x = 4,291,337.75
  5. Step 5: Solve for x
    x = 4,291,337.75/3,111.04
  6. Step 6: Final answer
    x = 1,379.39

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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.