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Finding the Fourth Proportional to 1,313.01, 1,977.35 and 1,184.49

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Solution

The fourth proportional to 1,313.01, 1,977.35 and 1,184.49 is: 1,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.01 : 1,977.35 = 1,184.49 : x
  2. Step 2: Convert to fraction form
    1,313.01/1,977.35 = 1,184.49/x
  3. Step 3: Cross multiply
    1,313.01x = 1,977.35 × 1,184.49
  4. Step 4: Simplify right side
    1,313.01x = 2,342,145.38
  5. Step 5: Solve for x
    x = 2,342,145.38/1,313.01
  6. Step 6: Final answer
    x = 1,783.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.