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Finding the Fourth Proportional to 1,703.14, 2,556.15 and 934.18

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Solution

The fourth proportional to 1,703.14, 2,556.15 and 934.18 is: 1,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.14 : 2,556.15 = 934.18 : x
  2. Step 2: Convert to fraction form
    1,703.14/2,556.15 = 934.18/x
  3. Step 3: Cross multiply
    1,703.14x = 2,556.15 × 934.18
  4. Step 4: Simplify right side
    1,703.14x = 2,387,904.21
  5. Step 5: Solve for x
    x = 2,387,904.21/1,703.14
  6. Step 6: Final answer
    x = 1,402.06

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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.