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Finding the Fourth Proportional to 1,514.42, 2,089.74 and 851.50

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Solution

The fourth proportional to 1,514.42, 2,089.74 and 851.50 is: 1,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.42 : 2,089.74 = 851.50 : x
  2. Step 2: Convert to fraction form
    1,514.42/2,089.74 = 851.50/x
  3. Step 3: Cross multiply
    1,514.42x = 2,089.74 × 851.50
  4. Step 4: Simplify right side
    1,514.42x = 1,779,413.61
  5. Step 5: Solve for x
    x = 1,779,413.61/1,514.42
  6. Step 6: Final answer
    x = 1,174.98

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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.