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Finding the Fourth Proportional to 1,712.94, 2,569.41 and 1,096.93

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Solution

The fourth proportional to 1,712.94, 2,569.41 and 1,096.93 is: 1,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.94 : 2,569.41 = 1,096.93 : x
  2. Step 2: Convert to fraction form
    1,712.94/2,569.41 = 1,096.93/x
  3. Step 3: Cross multiply
    1,712.94x = 2,569.41 × 1,096.93
  4. Step 4: Simplify right side
    1,712.94x = 2,818,457.43
  5. Step 5: Solve for x
    x = 2,818,457.43/1,712.94
  6. Step 6: Final answer
    x = 1,645.40

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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.