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Finding the Fourth Proportional to 1,860.12, 2,788.20 and 705

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Solution

The fourth proportional to 1,860.12, 2,788.20 and 705 is: 1,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.12 : 2,788.20 = 705 : x
  2. Step 2: Convert to fraction form
    1,860.12/2,788.20 = 705/x
  3. Step 3: Cross multiply
    1,860.12x = 2,788.20 × 705
  4. Step 4: Simplify right side
    1,860.12x = 1,965,681.00
  5. Step 5: Solve for x
    x = 1,965,681.00/1,860.12
  6. Step 6: Final answer
    x = 1,056.75

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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.