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Finding the Fourth Proportional to 1,870.30, 2,802.21 and 1,543.06

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Solution

The fourth proportional to 1,870.30, 2,802.21 and 1,543.06 is: 2,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.30 : 2,802.21 = 1,543.06 : x
  2. Step 2: Convert to fraction form
    1,870.30/2,802.21 = 1,543.06/x
  3. Step 3: Cross multiply
    1,870.30x = 2,802.21 × 1,543.06
  4. Step 4: Simplify right side
    1,870.30x = 4,323,978.16
  5. Step 5: Solve for x
    x = 4,323,978.16/1,870.30
  6. Step 6: Final answer
    x = 2,311.92

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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.