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Finding the Fourth Proportional to 2,776.54, 3,831.51 and 1,534.46

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Solution

The fourth proportional to 2,776.54, 3,831.51 and 1,534.46 is: 2,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.54 : 3,831.51 = 1,534.46 : x
  2. Step 2: Convert to fraction form
    2,776.54/3,831.51 = 1,534.46/x
  3. Step 3: Cross multiply
    2,776.54x = 3,831.51 × 1,534.46
  4. Step 4: Simplify right side
    2,776.54x = 5,879,298.83
  5. Step 5: Solve for x
    x = 5,879,298.83/2,776.54
  6. Step 6: Final answer
    x = 2,117.49

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