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Finding the Fourth Proportional to 2,356.59, 3,534.93 and 713.10

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Solution

The fourth proportional to 2,356.59, 3,534.93 and 713.10 is: 1,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.59 : 3,534.93 = 713.10 : x
  2. Step 2: Convert to fraction form
    2,356.59/3,534.93 = 713.10/x
  3. Step 3: Cross multiply
    2,356.59x = 3,534.93 × 713.10
  4. Step 4: Simplify right side
    2,356.59x = 2,520,758.58
  5. Step 5: Solve for x
    x = 2,520,758.58/2,356.59
  6. Step 6: Final answer
    x = 1,069.66

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1.5x scale

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.