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Finding the Fourth Proportional to 2,875.72, 4,309.50 and 1,413.40

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Solution

The fourth proportional to 2,875.72, 4,309.50 and 1,413.40 is: 2,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.72 : 4,309.50 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,875.72/4,309.50 = 1,413.40/x
  3. Step 3: Cross multiply
    2,875.72x = 4,309.50 × 1,413.40
  4. Step 4: Simplify right side
    2,875.72x = 6,091,047.30
  5. Step 5: Solve for x
    x = 6,091,047.30/2,875.72
  6. Step 6: Final answer
    x = 2,118.09

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Why These Related Problems?

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