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Finding the Fourth Proportional to 1,852.66, 2,762.92 and 1,580.50

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Solution

The fourth proportional to 1,852.66, 2,762.92 and 1,580.50 is: 2,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.66 : 2,762.92 = 1,580.50 : x
  2. Step 2: Convert to fraction form
    1,852.66/2,762.92 = 1,580.50/x
  3. Step 3: Cross multiply
    1,852.66x = 2,762.92 × 1,580.50
  4. Step 4: Simplify right side
    1,852.66x = 4,366,795.06
  5. Step 5: Solve for x
    x = 4,366,795.06/1,852.66
  6. Step 6: Final answer
    x = 2,357.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.