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Finding the Fourth Proportional to 1,527.37, 2,106.95 and 967.64

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Solution

The fourth proportional to 1,527.37, 2,106.95 and 967.64 is: 1,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.37 : 2,106.95 = 967.64 : x
  2. Step 2: Convert to fraction form
    1,527.37/2,106.95 = 967.64/x
  3. Step 3: Cross multiply
    1,527.37x = 2,106.95 × 967.64
  4. Step 4: Simplify right side
    1,527.37x = 2,038,753.73
  5. Step 5: Solve for x
    x = 2,038,753.73/1,527.37
  6. Step 6: Final answer
    x = 1,334.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.