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Finding the Fourth Proportional to 1,653.32, 2,281.61 and 907.34

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Solution

The fourth proportional to 1,653.32, 2,281.61 and 907.34 is: 1,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.32 : 2,281.61 = 907.34 : x
  2. Step 2: Convert to fraction form
    1,653.32/2,281.61 = 907.34/x
  3. Step 3: Cross multiply
    1,653.32x = 2,281.61 × 907.34
  4. Step 4: Simplify right side
    1,653.32x = 2,070,202.40
  5. Step 5: Solve for x
    x = 2,070,202.40/1,653.32
  6. Step 6: Final answer
    x = 1,252.15

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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.