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Finding the Fourth Proportional to 2,937.84, 4,405.95 and 1,530.75

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Solution

The fourth proportional to 2,937.84, 4,405.95 and 1,530.75 is: 2,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.84 : 4,405.95 = 1,530.75 : x
  2. Step 2: Convert to fraction form
    2,937.84/4,405.95 = 1,530.75/x
  3. Step 3: Cross multiply
    2,937.84x = 4,405.95 × 1,530.75
  4. Step 4: Simplify right side
    2,937.84x = 6,744,407.96
  5. Step 5: Solve for x
    x = 6,744,407.96/2,937.84
  6. Step 6: Final answer
    x = 2,295.70

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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.