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Finding the Fourth Proportional to 2,804.64, 3,870.42 and 1,562.64

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Solution

The fourth proportional to 2,804.64, 3,870.42 and 1,562.64 is: 2,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.64 : 3,870.42 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    2,804.64/3,870.42 = 1,562.64/x
  3. Step 3: Cross multiply
    2,804.64x = 3,870.42 × 1,562.64
  4. Step 4: Simplify right side
    2,804.64x = 6,048,073.11
  5. Step 5: Solve for x
    x = 6,048,073.11/2,804.64
  6. Step 6: Final answer
    x = 2,156.45

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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.