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Finding the Fourth Proportional to 1,792.10, 2,683.98 and 1,742.91

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Solution

The fourth proportional to 1,792.10, 2,683.98 and 1,742.91 is: 2,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.10 : 2,683.98 = 1,742.91 : x
  2. Step 2: Convert to fraction form
    1,792.10/2,683.98 = 1,742.91/x
  3. Step 3: Cross multiply
    1,792.10x = 2,683.98 × 1,742.91
  4. Step 4: Simplify right side
    1,792.10x = 4,677,935.58
  5. Step 5: Solve for x
    x = 4,677,935.58/1,792.10
  6. Step 6: Final answer
    x = 2,610.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.