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Finding the Fourth Proportional to 2,858.04, 3,944.06 and 1,564.52

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Solution

The fourth proportional to 2,858.04, 3,944.06 and 1,564.52 is: 2,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.04 : 3,944.06 = 1,564.52 : x
  2. Step 2: Convert to fraction form
    2,858.04/3,944.06 = 1,564.52/x
  3. Step 3: Cross multiply
    2,858.04x = 3,944.06 × 1,564.52
  4. Step 4: Simplify right side
    2,858.04x = 6,170,533.21
  5. Step 5: Solve for x
    x = 6,170,533.21/2,858.04
  6. Step 6: Final answer
    x = 2,159.01

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