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Finding the Fourth Proportional to 1,484.73, 2,048.95 and 895.46

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Solution

The fourth proportional to 1,484.73, 2,048.95 and 895.46 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.73 : 2,048.95 = 895.46 : x
  2. Step 2: Convert to fraction form
    1,484.73/2,048.95 = 895.46/x
  3. Step 3: Cross multiply
    1,484.73x = 2,048.95 × 895.46
  4. Step 4: Simplify right side
    1,484.73x = 1,834,738.60
  5. Step 5: Solve for x
    x = 1,834,738.60/1,484.73
  6. Step 6: Final answer
    x = 1,235.74

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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.