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Finding the Fourth Proportional to 1,931.57, 2,897.76 and 632.95

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Solution

The fourth proportional to 1,931.57, 2,897.76 and 632.95 is: 949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.57 : 2,897.76 = 632.95 : x
  2. Step 2: Convert to fraction form
    1,931.57/2,897.76 = 632.95/x
  3. Step 3: Cross multiply
    1,931.57x = 2,897.76 × 632.95
  4. Step 4: Simplify right side
    1,931.57x = 1,834,137.19
  5. Step 5: Solve for x
    x = 1,834,137.19/1,931.57
  6. Step 6: Final answer
    x = 949.56

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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.