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Finding the Fourth Proportional to 3,004.70, 4,507.04 and 1,543.46

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Solution

The fourth proportional to 3,004.70, 4,507.04 and 1,543.46 is: 2,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.70 : 4,507.04 = 1,543.46 : x
  2. Step 2: Convert to fraction form
    3,004.70/4,507.04 = 1,543.46/x
  3. Step 3: Cross multiply
    3,004.70x = 4,507.04 × 1,543.46
  4. Step 4: Simplify right side
    3,004.70x = 6,956,417.28
  5. Step 5: Solve for x
    x = 6,956,417.28/3,004.70
  6. Step 6: Final answer
    x = 2,315.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.