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Finding the Fourth Proportional to 1,709.74, 2,565.36 and 670.06

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Solution

The fourth proportional to 1,709.74, 2,565.36 and 670.06 is: 1,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.74 : 2,565.36 = 670.06 : x
  2. Step 2: Convert to fraction form
    1,709.74/2,565.36 = 670.06/x
  3. Step 3: Cross multiply
    1,709.74x = 2,565.36 × 670.06
  4. Step 4: Simplify right side
    1,709.74x = 1,718,945.12
  5. Step 5: Solve for x
    x = 1,718,945.12/1,709.74
  6. Step 6: Final answer
    x = 1,005.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.