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Finding the Fourth Proportional to 1,780.01, 2,675.98 and 1,435.76

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Solution

The fourth proportional to 1,780.01, 2,675.98 and 1,435.76 is: 2,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.01 : 2,675.98 = 1,435.76 : x
  2. Step 2: Convert to fraction form
    1,780.01/2,675.98 = 1,435.76/x
  3. Step 3: Cross multiply
    1,780.01x = 2,675.98 × 1,435.76
  4. Step 4: Simplify right side
    1,780.01x = 3,842,051.66
  5. Step 5: Solve for x
    x = 3,842,051.66/1,780.01
  6. Step 6: Final answer
    x = 2,158.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.