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Finding the Fourth Proportional to 2,802.35, 4,203.53 and 1,157.09

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Solution

The fourth proportional to 2,802.35, 4,203.53 and 1,157.09 is: 1,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.35 : 4,203.53 = 1,157.09 : x
  2. Step 2: Convert to fraction form
    2,802.35/4,203.53 = 1,157.09/x
  3. Step 3: Cross multiply
    2,802.35x = 4,203.53 × 1,157.09
  4. Step 4: Simplify right side
    2,802.35x = 4,863,875.93
  5. Step 5: Solve for x
    x = 4,863,875.93/2,802.35
  6. Step 6: Final answer
    x = 1,735.64

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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.