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Finding the Fourth Proportional to 2,802.54, 3,868.12 and 1,870.50

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Solution

The fourth proportional to 2,802.54, 3,868.12 and 1,870.50 is: 2,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.54 : 3,868.12 = 1,870.50 : x
  2. Step 2: Convert to fraction form
    2,802.54/3,868.12 = 1,870.50/x
  3. Step 3: Cross multiply
    2,802.54x = 3,868.12 × 1,870.50
  4. Step 4: Simplify right side
    2,802.54x = 7,235,318.46
  5. Step 5: Solve for x
    x = 7,235,318.46/2,802.54
  6. Step 6: Final answer
    x = 2,581.70

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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.