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Finding the Fourth Proportional to 1,653.32, 2,280.06 and 1,279.10

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Solution

The fourth proportional to 1,653.32, 2,280.06 and 1,279.10 is: 1,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.32 : 2,280.06 = 1,279.10 : x
  2. Step 2: Convert to fraction form
    1,653.32/2,280.06 = 1,279.10/x
  3. Step 3: Cross multiply
    1,653.32x = 2,280.06 × 1,279.10
  4. Step 4: Simplify right side
    1,653.32x = 2,916,413.35
  5. Step 5: Solve for x
    x = 2,916,413.35/1,653.32
  6. Step 6: Final answer
    x = 1,763.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.