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Finding the Fourth Proportional to 1,703.34, 2,351.10 and 1,004.94

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Solution

The fourth proportional to 1,703.34, 2,351.10 and 1,004.94 is: 1,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,351.10 = 1,004.94 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,351.10 = 1,004.94/x
  3. Step 3: Cross multiply
    1,703.34x = 2,351.10 × 1,004.94
  4. Step 4: Simplify right side
    1,703.34x = 2,362,714.43
  5. Step 5: Solve for x
    x = 2,362,714.43/1,703.34
  6. Step 6: Final answer
    x = 1,387.11

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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.