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Finding the Fourth Proportional to 2,454.51, 3,681.37 and 894.45

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Solution

The fourth proportional to 2,454.51, 3,681.37 and 894.45 is: 1,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.51 : 3,681.37 = 894.45 : x
  2. Step 2: Convert to fraction form
    2,454.51/3,681.37 = 894.45/x
  3. Step 3: Cross multiply
    2,454.51x = 3,681.37 × 894.45
  4. Step 4: Simplify right side
    2,454.51x = 3,292,801.40
  5. Step 5: Solve for x
    x = 3,292,801.40/2,454.51
  6. Step 6: Final answer
    x = 1,341.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.