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Finding the Fourth Proportional to 2,295.71, 3,442.30 and 713.99

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Solution

The fourth proportional to 2,295.71, 3,442.30 and 713.99 is: 1,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.71 : 3,442.30 = 713.99 : x
  2. Step 2: Convert to fraction form
    2,295.71/3,442.30 = 713.99/x
  3. Step 3: Cross multiply
    2,295.71x = 3,442.30 × 713.99
  4. Step 4: Simplify right side
    2,295.71x = 2,457,774.60
  5. Step 5: Solve for x
    x = 2,457,774.60/2,295.71
  6. Step 6: Final answer
    x = 1,070.60

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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.