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Finding the Fourth Proportional to 1,753.57, 2,419.59 and 1,054.99

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Solution

The fourth proportional to 1,753.57, 2,419.59 and 1,054.99 is: 1,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.57 : 2,419.59 = 1,054.99 : x
  2. Step 2: Convert to fraction form
    1,753.57/2,419.59 = 1,054.99/x
  3. Step 3: Cross multiply
    1,753.57x = 2,419.59 × 1,054.99
  4. Step 4: Simplify right side
    1,753.57x = 2,552,643.25
  5. Step 5: Solve for x
    x = 2,552,643.25/1,753.57
  6. Step 6: Final answer
    x = 1,455.68

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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.