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Finding the Fourth Proportional to 2,802.48, 4,199.88 and 1,158

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Solution

The fourth proportional to 2,802.48, 4,199.88 and 1,158 is: 1,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.48 : 4,199.88 = 1,158 : x
  2. Step 2: Convert to fraction form
    2,802.48/4,199.88 = 1,158/x
  3. Step 3: Cross multiply
    2,802.48x = 4,199.88 × 1,158
  4. Step 4: Simplify right side
    2,802.48x = 4,863,461.04
  5. Step 5: Solve for x
    x = 4,863,461.04/2,802.48
  6. Step 6: Final answer
    x = 1,735.41

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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.