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Finding the Fourth Proportional to 1,473.51, 2,034.02 and 1,001.16

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Solution

The fourth proportional to 1,473.51, 2,034.02 and 1,001.16 is: 1,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.51 : 2,034.02 = 1,001.16 : x
  2. Step 2: Convert to fraction form
    1,473.51/2,034.02 = 1,001.16/x
  3. Step 3: Cross multiply
    1,473.51x = 2,034.02 × 1,001.16
  4. Step 4: Simplify right side
    1,473.51x = 2,036,374.46
  5. Step 5: Solve for x
    x = 2,036,374.46/1,473.51
  6. Step 6: Final answer
    x = 1,381.99

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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.