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Finding the Fourth Proportional to 1,881.15, 2,822.53 and 785.76

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Solution

The fourth proportional to 1,881.15, 2,822.53 and 785.76 is: 1,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.15 : 2,822.53 = 785.76 : x
  2. Step 2: Convert to fraction form
    1,881.15/2,822.53 = 785.76/x
  3. Step 3: Cross multiply
    1,881.15x = 2,822.53 × 785.76
  4. Step 4: Simplify right side
    1,881.15x = 2,217,831.17
  5. Step 5: Solve for x
    x = 2,217,831.17/1,881.15
  6. Step 6: Final answer
    x = 1,178.98

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