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Finding the Fourth Proportional to 2,804.71, 3,870.16 and 1,625.62

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Solution

The fourth proportional to 2,804.71, 3,870.16 and 1,625.62 is: 2,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.71 : 3,870.16 = 1,625.62 : x
  2. Step 2: Convert to fraction form
    2,804.71/3,870.16 = 1,625.62/x
  3. Step 3: Cross multiply
    2,804.71x = 3,870.16 × 1,625.62
  4. Step 4: Simplify right side
    2,804.71x = 6,291,409.50
  5. Step 5: Solve for x
    x = 6,291,409.50/2,804.71
  6. Step 6: Final answer
    x = 2,243.16

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1.5x scale

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.