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Finding the Fourth Proportional to 2,402.32, 3,603.62 and 670.94

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Solution

The fourth proportional to 2,402.32, 3,603.62 and 670.94 is: 1,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.32 : 3,603.62 = 670.94 : x
  2. Step 2: Convert to fraction form
    2,402.32/3,603.62 = 670.94/x
  3. Step 3: Cross multiply
    2,402.32x = 3,603.62 × 670.94
  4. Step 4: Simplify right side
    2,402.32x = 2,417,812.80
  5. Step 5: Solve for x
    x = 2,417,812.80/2,402.32
  6. Step 6: Final answer
    x = 1,006.45

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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.