Home / 2,564.64-3,848.40-2,054.88

Finding the Fourth Proportional to 2,564.64, 3,848.40 and 2,054.88

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Solution

The fourth proportional to 2,564.64, 3,848.40 and 2,054.88 is: 3,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.64 : 3,848.40 = 2,054.88 : x
  2. Step 2: Convert to fraction form
    2,564.64/3,848.40 = 2,054.88/x
  3. Step 3: Cross multiply
    2,564.64x = 3,848.40 × 2,054.88
  4. Step 4: Simplify right side
    2,564.64x = 7,908,000.19
  5. Step 5: Solve for x
    x = 7,908,000.19/2,564.64
  6. Step 6: Final answer
    x = 3,083.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.