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Finding the Fourth Proportional to 1,909.93, 2,877.90 and 1,570.86

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Solution

The fourth proportional to 1,909.93, 2,877.90 and 1,570.86 is: 2,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.93 : 2,877.90 = 1,570.86 : x
  2. Step 2: Convert to fraction form
    1,909.93/2,877.90 = 1,570.86/x
  3. Step 3: Cross multiply
    1,909.93x = 2,877.90 × 1,570.86
  4. Step 4: Simplify right side
    1,909.93x = 4,520,777.99
  5. Step 5: Solve for x
    x = 4,520,777.99/1,909.93
  6. Step 6: Final answer
    x = 2,366.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.