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Finding the Fourth Proportional to 2,705.16, 4,055.04 and 1,610.04

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Solution

The fourth proportional to 2,705.16, 4,055.04 and 1,610.04 is: 2,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.16 : 4,055.04 = 1,610.04 : x
  2. Step 2: Convert to fraction form
    2,705.16/4,055.04 = 1,610.04/x
  3. Step 3: Cross multiply
    2,705.16x = 4,055.04 × 1,610.04
  4. Step 4: Simplify right side
    2,705.16x = 6,528,776.60
  5. Step 5: Solve for x
    x = 6,528,776.60/2,705.16
  6. Step 6: Final answer
    x = 2,413.45

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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.