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Finding the Fourth Proportional to 2,368.14, 3,268.14 and 1,320.18

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Solution

The fourth proportional to 2,368.14, 3,268.14 and 1,320.18 is: 1,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.14 : 3,268.14 = 1,320.18 : x
  2. Step 2: Convert to fraction form
    2,368.14/3,268.14 = 1,320.18/x
  3. Step 3: Cross multiply
    2,368.14x = 3,268.14 × 1,320.18
  4. Step 4: Simplify right side
    2,368.14x = 4,314,533.07
  5. Step 5: Solve for x
    x = 4,314,533.07/2,368.14
  6. Step 6: Final answer
    x = 1,821.91

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1.5x scale

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.