Home / 1,637.40-2,454.56-597.16

Finding the Fourth Proportional to 1,637.40, 2,454.56 and 597.16

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Solution

The fourth proportional to 1,637.40, 2,454.56 and 597.16 is: 895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.40 : 2,454.56 = 597.16 : x
  2. Step 2: Convert to fraction form
    1,637.40/2,454.56 = 597.16/x
  3. Step 3: Cross multiply
    1,637.40x = 2,454.56 × 597.16
  4. Step 4: Simplify right side
    1,637.40x = 1,465,765.05
  5. Step 5: Solve for x
    x = 1,465,765.05/1,637.40
  6. Step 6: Final answer
    x = 895.18

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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.