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Finding the Fourth Proportional to 2,308.76, 3,463.14 and 577.40

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Solution

The fourth proportional to 2,308.76, 3,463.14 and 577.40 is: 866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.76 : 3,463.14 = 577.40 : x
  2. Step 2: Convert to fraction form
    2,308.76/3,463.14 = 577.40/x
  3. Step 3: Cross multiply
    2,308.76x = 3,463.14 × 577.40
  4. Step 4: Simplify right side
    2,308.76x = 1,999,617.04
  5. Step 5: Solve for x
    x = 1,999,617.04/2,308.76
  6. Step 6: Final answer
    x = 866.10

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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.