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Finding the Fourth Proportional to 1,801.79, 2,486.46 and 973.79

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Solution

The fourth proportional to 1,801.79, 2,486.46 and 973.79 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.79 : 2,486.46 = 973.79 : x
  2. Step 2: Convert to fraction form
    1,801.79/2,486.46 = 973.79/x
  3. Step 3: Cross multiply
    1,801.79x = 2,486.46 × 973.79
  4. Step 4: Simplify right side
    1,801.79x = 2,421,272.58
  5. Step 5: Solve for x
    x = 2,421,272.58/1,801.79
  6. Step 6: Final answer
    x = 1,343.82

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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.