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Finding the Fourth Proportional to 2,810.22, 4,211.70 and 1,510.20

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Solution

The fourth proportional to 2,810.22, 4,211.70 and 1,510.20 is: 2,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.22 : 4,211.70 = 1,510.20 : x
  2. Step 2: Convert to fraction form
    2,810.22/4,211.70 = 1,510.20/x
  3. Step 3: Cross multiply
    2,810.22x = 4,211.70 × 1,510.20
  4. Step 4: Simplify right side
    2,810.22x = 6,360,509.34
  5. Step 5: Solve for x
    x = 6,360,509.34/2,810.22
  6. Step 6: Final answer
    x = 2,263.35

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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.