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Finding the Fourth Proportional to 2,705.46, 3,733.28 and 1,510.40

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Solution

The fourth proportional to 2,705.46, 3,733.28 and 1,510.40 is: 2,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.46 : 3,733.28 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    2,705.46/3,733.28 = 1,510.40/x
  3. Step 3: Cross multiply
    2,705.46x = 3,733.28 × 1,510.40
  4. Step 4: Simplify right side
    2,705.46x = 5,638,746.11
  5. Step 5: Solve for x
    x = 5,638,746.11/2,705.46
  6. Step 6: Final answer
    x = 2,084.21

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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.