Home / 2,565.16-3,848.63-1,584.32

Finding the Fourth Proportional to 2,565.16, 3,848.63 and 1,584.32

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Solution

The fourth proportional to 2,565.16, 3,848.63 and 1,584.32 is: 2,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.16 : 3,848.63 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    2,565.16/3,848.63 = 1,584.32/x
  3. Step 3: Cross multiply
    2,565.16x = 3,848.63 × 1,584.32
  4. Step 4: Simplify right side
    2,565.16x = 6,097,434.32
  5. Step 5: Solve for x
    x = 6,097,434.32/2,565.16
  6. Step 6: Final answer
    x = 2,377.02

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