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Finding the Fourth Proportional to 1,792.98, 2,465.37 and 1,530.54

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Solution

The fourth proportional to 1,792.98, 2,465.37 and 1,530.54 is: 2,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.98 : 2,465.37 = 1,530.54 : x
  2. Step 2: Convert to fraction form
    1,792.98/2,465.37 = 1,530.54/x
  3. Step 3: Cross multiply
    1,792.98x = 2,465.37 × 1,530.54
  4. Step 4: Simplify right side
    1,792.98x = 3,773,347.40
  5. Step 5: Solve for x
    x = 3,773,347.40/1,792.98
  6. Step 6: Final answer
    x = 2,104.51

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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.