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Finding the Fourth Proportional to 1,510.86, 2,266.35 and 415.23

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Solution

The fourth proportional to 1,510.86, 2,266.35 and 415.23 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.86 : 2,266.35 = 415.23 : x
  2. Step 2: Convert to fraction form
    1,510.86/2,266.35 = 415.23/x
  3. Step 3: Cross multiply
    1,510.86x = 2,266.35 × 415.23
  4. Step 4: Simplify right side
    1,510.86x = 941,056.51
  5. Step 5: Solve for x
    x = 941,056.51/1,510.86
  6. Step 6: Final answer
    x = 622.86

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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.