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Finding the Fourth Proportional to 1,498.80, 2,259.43 and 1,398.45

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Solution

The fourth proportional to 1,498.80, 2,259.43 and 1,398.45 is: 2,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.80 : 2,259.43 = 1,398.45 : x
  2. Step 2: Convert to fraction form
    1,498.80/2,259.43 = 1,398.45/x
  3. Step 3: Cross multiply
    1,498.80x = 2,259.43 × 1,398.45
  4. Step 4: Simplify right side
    1,498.80x = 3,159,692.15
  5. Step 5: Solve for x
    x = 3,159,692.15/1,498.80
  6. Step 6: Final answer
    x = 2,108.15

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