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Finding the Fourth Proportional to 2,877.76, 3,970.38 and 1,884.16

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Solution

The fourth proportional to 2,877.76, 3,970.38 and 1,884.16 is: 2,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.76 : 3,970.38 = 1,884.16 : x
  2. Step 2: Convert to fraction form
    2,877.76/3,970.38 = 1,884.16/x
  3. Step 3: Cross multiply
    2,877.76x = 3,970.38 × 1,884.16
  4. Step 4: Simplify right side
    2,877.76x = 7,480,831.18
  5. Step 5: Solve for x
    x = 7,480,831.18/2,877.76
  6. Step 6: Final answer
    x = 2,599.53

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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.