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Finding the Fourth Proportional to 1,712.84, 2,569.32 and 1,135.40

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Solution

The fourth proportional to 1,712.84, 2,569.32 and 1,135.40 is: 1,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.84 : 2,569.32 = 1,135.40 : x
  2. Step 2: Convert to fraction form
    1,712.84/2,569.32 = 1,135.40/x
  3. Step 3: Cross multiply
    1,712.84x = 2,569.32 × 1,135.40
  4. Step 4: Simplify right side
    1,712.84x = 2,917,205.93
  5. Step 5: Solve for x
    x = 2,917,205.93/1,712.84
  6. Step 6: Final answer
    x = 1,703.14

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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.