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Finding the Fourth Proportional to 1,916.16, 2,875.84 and 1,184.64

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Solution

The fourth proportional to 1,916.16, 2,875.84 and 1,184.64 is: 1,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.16 : 2,875.84 = 1,184.64 : x
  2. Step 2: Convert to fraction form
    1,916.16/2,875.84 = 1,184.64/x
  3. Step 3: Cross multiply
    1,916.16x = 2,875.84 × 1,184.64
  4. Step 4: Simplify right side
    1,916.16x = 3,406,835.10
  5. Step 5: Solve for x
    x = 3,406,835.10/1,916.16
  6. Step 6: Final answer
    x = 1,777.95

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