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Finding the Fourth Proportional to 1,871.04, 2,806.54 and 831.51

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Solution

The fourth proportional to 1,871.04, 2,806.54 and 831.51 is: 1,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.04 : 2,806.54 = 831.51 : x
  2. Step 2: Convert to fraction form
    1,871.04/2,806.54 = 831.51/x
  3. Step 3: Cross multiply
    1,871.04x = 2,806.54 × 831.51
  4. Step 4: Simplify right side
    1,871.04x = 2,333,666.08
  5. Step 5: Solve for x
    x = 2,333,666.08/1,871.04
  6. Step 6: Final answer
    x = 1,247.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.