Home / 1,521.34-2,282.01-597.16

Finding the Fourth Proportional to 1,521.34, 2,282.01 and 597.16

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Solution

The fourth proportional to 1,521.34, 2,282.01 and 597.16 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.34 : 2,282.01 = 597.16 : x
  2. Step 2: Convert to fraction form
    1,521.34/2,282.01 = 597.16/x
  3. Step 3: Cross multiply
    1,521.34x = 2,282.01 × 597.16
  4. Step 4: Simplify right side
    1,521.34x = 1,362,727.94
  5. Step 5: Solve for x
    x = 1,362,727.94/1,521.34
  6. Step 6: Final answer
    x = 895.74

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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.