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Finding the Fourth Proportional to 2,307.63, 3,461.41 and 576.25

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Solution

The fourth proportional to 2,307.63, 3,461.41 and 576.25 is: 864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.63 : 3,461.41 = 576.25 : x
  2. Step 2: Convert to fraction form
    2,307.63/3,461.41 = 576.25/x
  3. Step 3: Cross multiply
    2,307.63x = 3,461.41 × 576.25
  4. Step 4: Simplify right side
    2,307.63x = 1,994,637.51
  5. Step 5: Solve for x
    x = 1,994,637.51/2,307.63
  6. Step 6: Final answer
    x = 864.37

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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.