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Finding the Fourth Proportional to 1,498.92, 2,069.69 and 1,341.26

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Solution

The fourth proportional to 1,498.92, 2,069.69 and 1,341.26 is: 1,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.92 : 2,069.69 = 1,341.26 : x
  2. Step 2: Convert to fraction form
    1,498.92/2,069.69 = 1,341.26/x
  3. Step 3: Cross multiply
    1,498.92x = 2,069.69 × 1,341.26
  4. Step 4: Simplify right side
    1,498.92x = 2,775,992.41
  5. Step 5: Solve for x
    x = 2,775,992.41/1,498.92
  6. Step 6: Final answer
    x = 1,852.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.