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Finding the Fourth Proportional to 1,703.52, 2,352.32 and 1,648.48

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Solution

The fourth proportional to 1,703.52, 2,352.32 and 1,648.48 is: 2,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.52 : 2,352.32 = 1,648.48 : x
  2. Step 2: Convert to fraction form
    1,703.52/2,352.32 = 1,648.48/x
  3. Step 3: Cross multiply
    1,703.52x = 2,352.32 × 1,648.48
  4. Step 4: Simplify right side
    1,703.52x = 3,877,752.47
  5. Step 5: Solve for x
    x = 3,877,752.47/1,703.52
  6. Step 6: Final answer
    x = 2,276.32

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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.