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Finding the Fourth Proportional to 1,792.61, 2,473.37 and 1,460.51

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Solution

The fourth proportional to 1,792.61, 2,473.37 and 1,460.51 is: 2,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.61 : 2,473.37 = 1,460.51 : x
  2. Step 2: Convert to fraction form
    1,792.61/2,473.37 = 1,460.51/x
  3. Step 3: Cross multiply
    1,792.61x = 2,473.37 × 1,460.51
  4. Step 4: Simplify right side
    1,792.61x = 3,612,376.70
  5. Step 5: Solve for x
    x = 3,612,376.70/1,792.61
  6. Step 6: Final answer
    x = 2,015.15

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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.