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Finding the Fourth Proportional to 3,122, 4,683.76 and 1,070

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Solution

The fourth proportional to 3,122, 4,683.76 and 1,070 is: 1,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 4,683.76 = 1,070 : x
  2. Step 2: Convert to fraction form
    3,122/4,683.76 = 1,070/x
  3. Step 3: Cross multiply
    3,122x = 4,683.76 × 1,070
  4. Step 4: Simplify right side
    3,122x = 5,011,623.20
  5. Step 5: Solve for x
    x = 5,011,623.20/3,122
  6. Step 6: Final answer
    x = 1,605.26

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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.