Home / 1,527.42-2,102.04-1,461.81

Finding the Fourth Proportional to 1,527.42, 2,102.04 and 1,461.81

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Solution

The fourth proportional to 1,527.42, 2,102.04 and 1,461.81 is: 2,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.42 : 2,102.04 = 1,461.81 : x
  2. Step 2: Convert to fraction form
    1,527.42/2,102.04 = 1,461.81/x
  3. Step 3: Cross multiply
    1,527.42x = 2,102.04 × 1,461.81
  4. Step 4: Simplify right side
    1,527.42x = 3,072,783.09
  5. Step 5: Solve for x
    x = 3,072,783.09/1,527.42
  6. Step 6: Final answer
    x = 2,011.75

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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.