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Finding the Fourth Proportional to 1,859.96, 2,564.53 and 1,460.84

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Solution

The fourth proportional to 1,859.96, 2,564.53 and 1,460.84 is: 2,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.96 : 2,564.53 = 1,460.84 : x
  2. Step 2: Convert to fraction form
    1,859.96/2,564.53 = 1,460.84/x
  3. Step 3: Cross multiply
    1,859.96x = 2,564.53 × 1,460.84
  4. Step 4: Simplify right side
    1,859.96x = 3,746,351.53
  5. Step 5: Solve for x
    x = 3,746,351.53/1,859.96
  6. Step 6: Final answer
    x = 2,014.21

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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.