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Finding the Fourth Proportional to 3,034.51, 4,554.60 and 1,574.69

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Solution

The fourth proportional to 3,034.51, 4,554.60 and 1,574.69 is: 2,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.51 : 4,554.60 = 1,574.69 : x
  2. Step 2: Convert to fraction form
    3,034.51/4,554.60 = 1,574.69/x
  3. Step 3: Cross multiply
    3,034.51x = 4,554.60 × 1,574.69
  4. Step 4: Simplify right side
    3,034.51x = 7,172,071.69
  5. Step 5: Solve for x
    x = 7,172,071.69/3,034.51
  6. Step 6: Final answer
    x = 2,363.50

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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.