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Finding the Fourth Proportional to 2,699.04, 3,724.68 and 1,564.93

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Solution

The fourth proportional to 2,699.04, 3,724.68 and 1,564.93 is: 2,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.04 : 3,724.68 = 1,564.93 : x
  2. Step 2: Convert to fraction form
    2,699.04/3,724.68 = 1,564.93/x
  3. Step 3: Cross multiply
    2,699.04x = 3,724.68 × 1,564.93
  4. Step 4: Simplify right side
    2,699.04x = 5,828,837.02
  5. Step 5: Solve for x
    x = 5,828,837.02/2,699.04
  6. Step 6: Final answer
    x = 2,159.60

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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.