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Finding the Fourth Proportional to 1,746.15, 2,616.12 and 924.99

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Solution

The fourth proportional to 1,746.15, 2,616.12 and 924.99 is: 1,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.15 : 2,616.12 = 924.99 : x
  2. Step 2: Convert to fraction form
    1,746.15/2,616.12 = 924.99/x
  3. Step 3: Cross multiply
    1,746.15x = 2,616.12 × 924.99
  4. Step 4: Simplify right side
    1,746.15x = 2,419,884.84
  5. Step 5: Solve for x
    x = 2,419,884.84/1,746.15
  6. Step 6: Final answer
    x = 1,385.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.