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Finding the Fourth Proportional to 1,400.24, 1,935.24 and 1,068.68

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Solution

The fourth proportional to 1,400.24, 1,935.24 and 1,068.68 is: 1,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.24 : 1,935.24 = 1,068.68 : x
  2. Step 2: Convert to fraction form
    1,400.24/1,935.24 = 1,068.68/x
  3. Step 3: Cross multiply
    1,400.24x = 1,935.24 × 1,068.68
  4. Step 4: Simplify right side
    1,400.24x = 2,068,152.28
  5. Step 5: Solve for x
    x = 2,068,152.28/1,400.24
  6. Step 6: Final answer
    x = 1,477.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.