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Finding the Fourth Proportional to 1,710.06, 2,564.58 and 670.02

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Solution

The fourth proportional to 1,710.06, 2,564.58 and 670.02 is: 1,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.06 : 2,564.58 = 670.02 : x
  2. Step 2: Convert to fraction form
    1,710.06/2,564.58 = 670.02/x
  3. Step 3: Cross multiply
    1,710.06x = 2,564.58 × 670.02
  4. Step 4: Simplify right side
    1,710.06x = 1,718,319.89
  5. Step 5: Solve for x
    x = 1,718,319.89/1,710.06
  6. Step 6: Final answer
    x = 1,004.83

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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.