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Finding the Fourth Proportional to 2,130.66, 2,930.04 and 1,705.68

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Solution

The fourth proportional to 2,130.66, 2,930.04 and 1,705.68 is: 2,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.66 : 2,930.04 = 1,705.68 : x
  2. Step 2: Convert to fraction form
    2,130.66/2,930.04 = 1,705.68/x
  3. Step 3: Cross multiply
    2,130.66x = 2,930.04 × 1,705.68
  4. Step 4: Simplify right side
    2,130.66x = 4,997,710.63
  5. Step 5: Solve for x
    x = 4,997,710.63/2,130.66
  6. Step 6: Final answer
    x = 2,345.62

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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.