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Finding the Fourth Proportional to 2,675.04, 4,009.50 and 1,030.74

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Solution

The fourth proportional to 2,675.04, 4,009.50 and 1,030.74 is: 1,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.04 : 4,009.50 = 1,030.74 : x
  2. Step 2: Convert to fraction form
    2,675.04/4,009.50 = 1,030.74/x
  3. Step 3: Cross multiply
    2,675.04x = 4,009.50 × 1,030.74
  4. Step 4: Simplify right side
    2,675.04x = 4,132,752.03
  5. Step 5: Solve for x
    x = 4,132,752.03/2,675.04
  6. Step 6: Final answer
    x = 1,544.93

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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.