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Finding the Fourth Proportional to 1,712.67, 2,569.14 and 846.51

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Solution

The fourth proportional to 1,712.67, 2,569.14 and 846.51 is: 1,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.67 : 2,569.14 = 846.51 : x
  2. Step 2: Convert to fraction form
    1,712.67/2,569.14 = 846.51/x
  3. Step 3: Cross multiply
    1,712.67x = 2,569.14 × 846.51
  4. Step 4: Simplify right side
    1,712.67x = 2,174,802.70
  5. Step 5: Solve for x
    x = 2,174,802.70/1,712.67
  6. Step 6: Final answer
    x = 1,269.83

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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.