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Finding the Fourth Proportional to 1,576.60, 2,364.90 and 1,425.40

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Solution

The fourth proportional to 1,576.60, 2,364.90 and 1,425.40 is: 2,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.60 : 2,364.90 = 1,425.40 : x
  2. Step 2: Convert to fraction form
    1,576.60/2,364.90 = 1,425.40/x
  3. Step 3: Cross multiply
    1,576.60x = 2,364.90 × 1,425.40
  4. Step 4: Simplify right side
    1,576.60x = 3,370,928.46
  5. Step 5: Solve for x
    x = 3,370,928.46/1,576.60
  6. Step 6: Final answer
    x = 2,138.10

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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.