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Finding the Fourth Proportional to 1,870.17, 2,803.10 and 1,005.09

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Solution

The fourth proportional to 1,870.17, 2,803.10 and 1,005.09 is: 1,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.17 : 2,803.10 = 1,005.09 : x
  2. Step 2: Convert to fraction form
    1,870.17/2,803.10 = 1,005.09/x
  3. Step 3: Cross multiply
    1,870.17x = 2,803.10 × 1,005.09
  4. Step 4: Simplify right side
    1,870.17x = 2,817,362.75
  5. Step 5: Solve for x
    x = 2,817,362.75/1,870.17
  6. Step 6: Final answer
    x = 1,506.47

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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.