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Finding the Fourth Proportional to 3,007.50, 4,510.10 and 1,032.76

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Solution

The fourth proportional to 3,007.50, 4,510.10 and 1,032.76 is: 1,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.50 : 4,510.10 = 1,032.76 : x
  2. Step 2: Convert to fraction form
    3,007.50/4,510.10 = 1,032.76/x
  3. Step 3: Cross multiply
    3,007.50x = 4,510.10 × 1,032.76
  4. Step 4: Simplify right side
    3,007.50x = 4,657,853.29
  5. Step 5: Solve for x
    x = 4,657,853.29/3,007.50
  6. Step 6: Final answer
    x = 1,548.74

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1.5x scale

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.