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Finding the Fourth Proportional to 1,368.76, 2,052 and 935.32

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Solution

The fourth proportional to 1,368.76, 2,052 and 935.32 is: 1,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.76 : 2,052 = 935.32 : x
  2. Step 2: Convert to fraction form
    1,368.76/2,052 = 935.32/x
  3. Step 3: Cross multiply
    1,368.76x = 2,052 × 935.32
  4. Step 4: Simplify right side
    1,368.76x = 1,919,276.64
  5. Step 5: Solve for x
    x = 1,919,276.64/1,368.76
  6. Step 6: Final answer
    x = 1,402.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.