Home / 1,762.89-2,432.81-977.01

Finding the Fourth Proportional to 1,762.89, 2,432.81 and 977.01

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Solution

The fourth proportional to 1,762.89, 2,432.81 and 977.01 is: 1,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.89 : 2,432.81 = 977.01 : x
  2. Step 2: Convert to fraction form
    1,762.89/2,432.81 = 977.01/x
  3. Step 3: Cross multiply
    1,762.89x = 2,432.81 × 977.01
  4. Step 4: Simplify right side
    1,762.89x = 2,376,874.81
  5. Step 5: Solve for x
    x = 2,376,874.81/1,762.89
  6. Step 6: Final answer
    x = 1,348.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.