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Finding the Fourth Proportional to 3,061.99, 4,592.47 and 870.87

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Solution

The fourth proportional to 3,061.99, 4,592.47 and 870.87 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.99 : 4,592.47 = 870.87 : x
  2. Step 2: Convert to fraction form
    3,061.99/4,592.47 = 870.87/x
  3. Step 3: Cross multiply
    3,061.99x = 4,592.47 × 870.87
  4. Step 4: Simplify right side
    3,061.99x = 3,999,444.35
  5. Step 5: Solve for x
    x = 3,999,444.35/3,061.99
  6. Step 6: Final answer
    x = 1,306.16

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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.