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Finding the Fourth Proportional to 1,792.16, 2,473.20 and 1,035.93

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Solution

The fourth proportional to 1,792.16, 2,473.20 and 1,035.93 is: 1,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.16 : 2,473.20 = 1,035.93 : x
  2. Step 2: Convert to fraction form
    1,792.16/2,473.20 = 1,035.93/x
  3. Step 3: Cross multiply
    1,792.16x = 2,473.20 × 1,035.93
  4. Step 4: Simplify right side
    1,792.16x = 2,562,062.08
  5. Step 5: Solve for x
    x = 2,562,062.08/1,792.16
  6. Step 6: Final answer
    x = 1,429.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.