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Finding the Fourth Proportional to 2,977.84, 4,465.14 and 1,246.06

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Solution

The fourth proportional to 2,977.84, 4,465.14 and 1,246.06 is: 1,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.84 : 4,465.14 = 1,246.06 : x
  2. Step 2: Convert to fraction form
    2,977.84/4,465.14 = 1,246.06/x
  3. Step 3: Cross multiply
    2,977.84x = 4,465.14 × 1,246.06
  4. Step 4: Simplify right side
    2,977.84x = 5,563,832.35
  5. Step 5: Solve for x
    x = 5,563,832.35/2,977.84
  6. Step 6: Final answer
    x = 1,868.41

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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.