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Finding the Fourth Proportional to 1,653.47, 2,281.75 and 907.43

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Solution

The fourth proportional to 1,653.47, 2,281.75 and 907.43 is: 1,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.47 : 2,281.75 = 907.43 : x
  2. Step 2: Convert to fraction form
    1,653.47/2,281.75 = 907.43/x
  3. Step 3: Cross multiply
    1,653.47x = 2,281.75 × 907.43
  4. Step 4: Simplify right side
    1,653.47x = 2,070,514.73
  5. Step 5: Solve for x
    x = 2,070,514.73/1,653.47
  6. Step 6: Final answer
    x = 1,252.22

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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.