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Finding the Fourth Proportional to 1,433.65, 1,977.70 and 936.58

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Solution

The fourth proportional to 1,433.65, 1,977.70 and 936.58 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.65 : 1,977.70 = 936.58 : x
  2. Step 2: Convert to fraction form
    1,433.65/1,977.70 = 936.58/x
  3. Step 3: Cross multiply
    1,433.65x = 1,977.70 × 936.58
  4. Step 4: Simplify right side
    1,433.65x = 1,852,274.27
  5. Step 5: Solve for x
    x = 1,852,274.27/1,433.65
  6. Step 6: Final answer
    x = 1,292.00

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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.