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Finding the Fourth Proportional to 1,561.59, 2,357.08 and 1,561.59

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Solution

The fourth proportional to 1,561.59, 2,357.08 and 1,561.59 is: 2,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.59 : 2,357.08 = 1,561.59 : x
  2. Step 2: Convert to fraction form
    1,561.59/2,357.08 = 1,561.59/x
  3. Step 3: Cross multiply
    1,561.59x = 2,357.08 × 1,561.59
  4. Step 4: Simplify right side
    1,561.59x = 3,680,788.65
  5. Step 5: Solve for x
    x = 3,680,788.65/1,561.59
  6. Step 6: Final answer
    x = 2,357.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.