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Finding the Fourth Proportional to 2,437.64, 3,669.95 and 1,673.16

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Solution

The fourth proportional to 2,437.64, 3,669.95 and 1,673.16 is: 2,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.64 : 3,669.95 = 1,673.16 : x
  2. Step 2: Convert to fraction form
    2,437.64/3,669.95 = 1,673.16/x
  3. Step 3: Cross multiply
    2,437.64x = 3,669.95 × 1,673.16
  4. Step 4: Simplify right side
    2,437.64x = 6,140,413.54
  5. Step 5: Solve for x
    x = 6,140,413.54/2,437.64
  6. Step 6: Final answer
    x = 2,519.00

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Why These Related Problems?

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