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Finding the Fourth Proportional to 2,683.49, 3,703.07 and 1,564.61

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Solution

The fourth proportional to 2,683.49, 3,703.07 and 1,564.61 is: 2,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.49 : 3,703.07 = 1,564.61 : x
  2. Step 2: Convert to fraction form
    2,683.49/3,703.07 = 1,564.61/x
  3. Step 3: Cross multiply
    2,683.49x = 3,703.07 × 1,564.61
  4. Step 4: Simplify right side
    2,683.49x = 5,793,852.53
  5. Step 5: Solve for x
    x = 5,793,852.53/2,683.49
  6. Step 6: Final answer
    x = 2,159.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.