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Finding the Fourth Proportional to 1,713.86, 2,570.76 and 415.34

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Solution

The fourth proportional to 1,713.86, 2,570.76 and 415.34 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.86 : 2,570.76 = 415.34 : x
  2. Step 2: Convert to fraction form
    1,713.86/2,570.76 = 415.34/x
  3. Step 3: Cross multiply
    1,713.86x = 2,570.76 × 415.34
  4. Step 4: Simplify right side
    1,713.86x = 1,067,726.60
  5. Step 5: Solve for x
    x = 1,067,726.60/1,713.86
  6. Step 6: Final answer
    x = 623.00

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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.