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Finding the Fourth Proportional to 2,368, 3,268.16 and 1,541.76

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Solution

The fourth proportional to 2,368, 3,268.16 and 1,541.76 is: 2,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368 : 3,268.16 = 1,541.76 : x
  2. Step 2: Convert to fraction form
    2,368/3,268.16 = 1,541.76/x
  3. Step 3: Cross multiply
    2,368x = 3,268.16 × 1,541.76
  4. Step 4: Simplify right side
    2,368x = 5,038,718.36
  5. Step 5: Solve for x
    x = 5,038,718.36/2,368
  6. Step 6: Final answer
    x = 2,127.84

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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.