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Finding the Fourth Proportional to 1,792.50, 2,473.05 and 1,460.35

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Solution

The fourth proportional to 1,792.50, 2,473.05 and 1,460.35 is: 2,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.50 : 2,473.05 = 1,460.35 : x
  2. Step 2: Convert to fraction form
    1,792.50/2,473.05 = 1,460.35/x
  3. Step 3: Cross multiply
    1,792.50x = 2,473.05 × 1,460.35
  4. Step 4: Simplify right side
    1,792.50x = 3,611,518.57
  5. Step 5: Solve for x
    x = 3,611,518.57/1,792.50
  6. Step 6: Final answer
    x = 2,014.79

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