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Finding the Fourth Proportional to 2,295.30, 3,442.42 and 651.46

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Solution

The fourth proportional to 2,295.30, 3,442.42 and 651.46 is: 977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.30 : 3,442.42 = 651.46 : x
  2. Step 2: Convert to fraction form
    2,295.30/3,442.42 = 651.46/x
  3. Step 3: Cross multiply
    2,295.30x = 3,442.42 × 651.46
  4. Step 4: Simplify right side
    2,295.30x = 2,242,598.93
  5. Step 5: Solve for x
    x = 2,242,598.93/2,295.30
  6. Step 6: Final answer
    x = 977.04

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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.