Home / 1,541.81-2,312.64-446.15

Finding the Fourth Proportional to 1,541.81, 2,312.64 and 446.15

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Solution

The fourth proportional to 1,541.81, 2,312.64 and 446.15 is: 669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.81 : 2,312.64 = 446.15 : x
  2. Step 2: Convert to fraction form
    1,541.81/2,312.64 = 446.15/x
  3. Step 3: Cross multiply
    1,541.81x = 2,312.64 × 446.15
  4. Step 4: Simplify right side
    1,541.81x = 1,031,784.34
  5. Step 5: Solve for x
    x = 1,031,784.34/1,541.81
  6. Step 6: Final answer
    x = 669.20

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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.