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Finding the Fourth Proportional to 1,410.39, 2,117.97 and 923.18

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Solution

The fourth proportional to 1,410.39, 2,117.97 and 923.18 is: 1,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.39 : 2,117.97 = 923.18 : x
  2. Step 2: Convert to fraction form
    1,410.39/2,117.97 = 923.18/x
  3. Step 3: Cross multiply
    1,410.39x = 2,117.97 × 923.18
  4. Step 4: Simplify right side
    1,410.39x = 1,955,256.95
  5. Step 5: Solve for x
    x = 1,955,256.95/1,410.39
  6. Step 6: Final answer
    x = 1,386.32

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