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Finding the Fourth Proportional to 2,295.31, 3,442.59 and 651.49

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Solution

The fourth proportional to 2,295.31, 3,442.59 and 651.49 is: 977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.31 : 3,442.59 = 651.49 : x
  2. Step 2: Convert to fraction form
    2,295.31/3,442.59 = 651.49/x
  3. Step 3: Cross multiply
    2,295.31x = 3,442.59 × 651.49
  4. Step 4: Simplify right side
    2,295.31x = 2,242,812.96
  5. Step 5: Solve for x
    x = 2,242,812.96/2,295.31
  6. Step 6: Final answer
    x = 977.13

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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.