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Finding the Fourth Proportional to 1,465.84, 2,023.55 and 935.29

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Solution

The fourth proportional to 1,465.84, 2,023.55 and 935.29 is: 1,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.84 : 2,023.55 = 935.29 : x
  2. Step 2: Convert to fraction form
    1,465.84/2,023.55 = 935.29/x
  3. Step 3: Cross multiply
    1,465.84x = 2,023.55 × 935.29
  4. Step 4: Simplify right side
    1,465.84x = 1,892,606.08
  5. Step 5: Solve for x
    x = 1,892,606.08/1,465.84
  6. Step 6: Final answer
    x = 1,291.14

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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.