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Finding the Fourth Proportional to 1,746.06, 2,619.08 and 706.05

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Solution

The fourth proportional to 1,746.06, 2,619.08 and 706.05 is: 1,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.06 : 2,619.08 = 706.05 : x
  2. Step 2: Convert to fraction form
    1,746.06/2,619.08 = 706.05/x
  3. Step 3: Cross multiply
    1,746.06x = 2,619.08 × 706.05
  4. Step 4: Simplify right side
    1,746.06x = 1,849,190.40
  5. Step 5: Solve for x
    x = 1,849,190.40/1,746.06
  6. Step 6: Final answer
    x = 1,059.07

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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.