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Finding the Fourth Proportional to 1,852.50, 2,555.68 and 1,106.17

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Solution

The fourth proportional to 1,852.50, 2,555.68 and 1,106.17 is: 1,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.50 : 2,555.68 = 1,106.17 : x
  2. Step 2: Convert to fraction form
    1,852.50/2,555.68 = 1,106.17/x
  3. Step 3: Cross multiply
    1,852.50x = 2,555.68 × 1,106.17
  4. Step 4: Simplify right side
    1,852.50x = 2,827,016.55
  5. Step 5: Solve for x
    x = 2,827,016.55/1,852.50
  6. Step 6: Final answer
    x = 1,526.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.