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Finding the Fourth Proportional to 1,683.16, 2,525.14 and 848.17

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Solution

The fourth proportional to 1,683.16, 2,525.14 and 848.17 is: 1,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.16 : 2,525.14 = 848.17 : x
  2. Step 2: Convert to fraction form
    1,683.16/2,525.14 = 848.17/x
  3. Step 3: Cross multiply
    1,683.16x = 2,525.14 × 848.17
  4. Step 4: Simplify right side
    1,683.16x = 2,141,756.17
  5. Step 5: Solve for x
    x = 2,141,756.17/1,683.16
  6. Step 6: Final answer
    x = 1,272.46

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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.