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Finding the Fourth Proportional to 3,061.76, 4,592.64 and 953.42

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Solution

The fourth proportional to 3,061.76, 4,592.64 and 953.42 is: 1,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.76 : 4,592.64 = 953.42 : x
  2. Step 2: Convert to fraction form
    3,061.76/4,592.64 = 953.42/x
  3. Step 3: Cross multiply
    3,061.76x = 4,592.64 × 953.42
  4. Step 4: Simplify right side
    3,061.76x = 4,378,714.83
  5. Step 5: Solve for x
    x = 4,378,714.83/3,061.76
  6. Step 6: Final answer
    x = 1,430.13

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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.