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Finding the Fourth Proportional to 1,852.60, 2,776.78 and 877.32

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Solution

The fourth proportional to 1,852.60, 2,776.78 and 877.32 is: 1,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.60 : 2,776.78 = 877.32 : x
  2. Step 2: Convert to fraction form
    1,852.60/2,776.78 = 877.32/x
  3. Step 3: Cross multiply
    1,852.60x = 2,776.78 × 877.32
  4. Step 4: Simplify right side
    1,852.60x = 2,436,124.63
  5. Step 5: Solve for x
    x = 2,436,124.63/1,852.60
  6. Step 6: Final answer
    x = 1,314.98

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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.