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Finding the Fourth Proportional to 2,445.04, 3,667.74 and 713.80

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Solution

The fourth proportional to 2,445.04, 3,667.74 and 713.80 is: 1,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.04 : 3,667.74 = 713.80 : x
  2. Step 2: Convert to fraction form
    2,445.04/3,667.74 = 713.80/x
  3. Step 3: Cross multiply
    2,445.04x = 3,667.74 × 713.80
  4. Step 4: Simplify right side
    2,445.04x = 2,618,032.81
  5. Step 5: Solve for x
    x = 2,618,032.81/2,445.04
  6. Step 6: Final answer
    x = 1,070.75

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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.