Home / 1,587.12-2,184.08-1,464

Finding the Fourth Proportional to 1,587.12, 2,184.08 and 1,464

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Solution

The fourth proportional to 1,587.12, 2,184.08 and 1,464 is: 2,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.12 : 2,184.08 = 1,464 : x
  2. Step 2: Convert to fraction form
    1,587.12/2,184.08 = 1,464/x
  3. Step 3: Cross multiply
    1,587.12x = 2,184.08 × 1,464
  4. Step 4: Simplify right side
    1,587.12x = 3,197,485.80
  5. Step 5: Solve for x
    x = 3,197,485.80/1,587.12
  6. Step 6: Final answer
    x = 2,014.65

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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.