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Finding the Fourth Proportional to 1,402.94, 1,935.15 and 1,355.42

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Solution

The fourth proportional to 1,402.94, 1,935.15 and 1,355.42 is: 1,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.94 : 1,935.15 = 1,355.42 : x
  2. Step 2: Convert to fraction form
    1,402.94/1,935.15 = 1,355.42/x
  3. Step 3: Cross multiply
    1,402.94x = 1,935.15 × 1,355.42
  4. Step 4: Simplify right side
    1,402.94x = 2,622,941.01
  5. Step 5: Solve for x
    x = 2,622,941.01/1,402.94
  6. Step 6: Final answer
    x = 1,869.60

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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.