Home / 1,502.10-2,070.40-1,004.56

Finding the Fourth Proportional to 1,502.10, 2,070.40 and 1,004.56

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Solution

The fourth proportional to 1,502.10, 2,070.40 and 1,004.56 is: 1,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.10 : 2,070.40 = 1,004.56 : x
  2. Step 2: Convert to fraction form
    1,502.10/2,070.40 = 1,004.56/x
  3. Step 3: Cross multiply
    1,502.10x = 2,070.40 × 1,004.56
  4. Step 4: Simplify right side
    1,502.10x = 2,079,841.02
  5. Step 5: Solve for x
    x = 2,079,841.02/1,502.10
  6. Step 6: Final answer
    x = 1,384.62

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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.