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Finding the Fourth Proportional to 1,799.61, 2,483.12 and 1,053.60

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Solution

The fourth proportional to 1,799.61, 2,483.12 and 1,053.60 is: 1,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.61 : 2,483.12 = 1,053.60 : x
  2. Step 2: Convert to fraction form
    1,799.61/2,483.12 = 1,053.60/x
  3. Step 3: Cross multiply
    1,799.61x = 2,483.12 × 1,053.60
  4. Step 4: Simplify right side
    1,799.61x = 2,616,215.23
  5. Step 5: Solve for x
    x = 2,616,215.23/1,799.61
  6. Step 6: Final answer
    x = 1,453.77

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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.