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Finding the Fourth Proportional to 1,688.86, 2,328.79 and 1,098.30

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Solution

The fourth proportional to 1,688.86, 2,328.79 and 1,098.30 is: 1,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.86 : 2,328.79 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    1,688.86/2,328.79 = 1,098.30/x
  3. Step 3: Cross multiply
    1,688.86x = 2,328.79 × 1,098.30
  4. Step 4: Simplify right side
    1,688.86x = 2,557,710.06
  5. Step 5: Solve for x
    x = 2,557,710.06/1,688.86
  6. Step 6: Final answer
    x = 1,514.46

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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.