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Finding the Fourth Proportional to 2,059.32, 2,840.16 and 1,313.28

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Solution

The fourth proportional to 2,059.32, 2,840.16 and 1,313.28 is: 1,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.32 : 2,840.16 = 1,313.28 : x
  2. Step 2: Convert to fraction form
    2,059.32/2,840.16 = 1,313.28/x
  3. Step 3: Cross multiply
    2,059.32x = 2,840.16 × 1,313.28
  4. Step 4: Simplify right side
    2,059.32x = 3,729,925.32
  5. Step 5: Solve for x
    x = 3,729,925.32/2,059.32
  6. Step 6: Final answer
    x = 1,811.24

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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.