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Finding the Fourth Proportional to 1,564.61, 2,335.71 and 1,455.26

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Solution

The fourth proportional to 1,564.61, 2,335.71 and 1,455.26 is: 2,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.61 : 2,335.71 = 1,455.26 : x
  2. Step 2: Convert to fraction form
    1,564.61/2,335.71 = 1,455.26/x
  3. Step 3: Cross multiply
    1,564.61x = 2,335.71 × 1,455.26
  4. Step 4: Simplify right side
    1,564.61x = 3,399,058.06
  5. Step 5: Solve for x
    x = 3,399,058.06/1,564.61
  6. Step 6: Final answer
    x = 2,172.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.