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Finding the Fourth Proportional to 2,356.57, 3,534.96 and 713.35

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Solution

The fourth proportional to 2,356.57, 3,534.96 and 713.35 is: 1,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.57 : 3,534.96 = 713.35 : x
  2. Step 2: Convert to fraction form
    2,356.57/3,534.96 = 713.35/x
  3. Step 3: Cross multiply
    2,356.57x = 3,534.96 × 713.35
  4. Step 4: Simplify right side
    2,356.57x = 2,521,663.72
  5. Step 5: Solve for x
    x = 2,521,663.72/2,356.57
  6. Step 6: Final answer
    x = 1,070.06

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Why These Related Problems?

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