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Finding the Fourth Proportional to 1,530.09, 2,111.47 and 831.46

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Solution

The fourth proportional to 1,530.09, 2,111.47 and 831.46 is: 1,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.09 : 2,111.47 = 831.46 : x
  2. Step 2: Convert to fraction form
    1,530.09/2,111.47 = 831.46/x
  3. Step 3: Cross multiply
    1,530.09x = 2,111.47 × 831.46
  4. Step 4: Simplify right side
    1,530.09x = 1,755,602.85
  5. Step 5: Solve for x
    x = 1,755,602.85/1,530.09
  6. Step 6: Final answer
    x = 1,147.39

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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.