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Finding the Fourth Proportional to 1,730.98, 2,385.93 and 1,206.10

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Solution

The fourth proportional to 1,730.98, 2,385.93 and 1,206.10 is: 1,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.98 : 2,385.93 = 1,206.10 : x
  2. Step 2: Convert to fraction form
    1,730.98/2,385.93 = 1,206.10/x
  3. Step 3: Cross multiply
    1,730.98x = 2,385.93 × 1,206.10
  4. Step 4: Simplify right side
    1,730.98x = 2,877,670.17
  5. Step 5: Solve for x
    x = 2,877,670.17/1,730.98
  6. Step 6: Final answer
    x = 1,662.45

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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.