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Finding the Fourth Proportional to 1,706.30, 2,354.72 and 1,043.01

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Solution

The fourth proportional to 1,706.30, 2,354.72 and 1,043.01 is: 1,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.30 : 2,354.72 = 1,043.01 : x
  2. Step 2: Convert to fraction form
    1,706.30/2,354.72 = 1,043.01/x
  3. Step 3: Cross multiply
    1,706.30x = 2,354.72 × 1,043.01
  4. Step 4: Simplify right side
    1,706.30x = 2,455,996.51
  5. Step 5: Solve for x
    x = 2,455,996.51/1,706.30
  6. Step 6: Final answer
    x = 1,439.37

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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.