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Finding the Fourth Proportional to 1,503.51, 2,076.47 and 1,032.65

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Solution

The fourth proportional to 1,503.51, 2,076.47 and 1,032.65 is: 1,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.51 : 2,076.47 = 1,032.65 : x
  2. Step 2: Convert to fraction form
    1,503.51/2,076.47 = 1,032.65/x
  3. Step 3: Cross multiply
    1,503.51x = 2,076.47 × 1,032.65
  4. Step 4: Simplify right side
    1,503.51x = 2,144,251.20
  5. Step 5: Solve for x
    x = 2,144,251.20/1,503.51
  6. Step 6: Final answer
    x = 1,426.17

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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.