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Finding the Fourth Proportional to 2,058.41, 3,088.63 and 962.58

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Solution

The fourth proportional to 2,058.41, 3,088.63 and 962.58 is: 1,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.41 : 3,088.63 = 962.58 : x
  2. Step 2: Convert to fraction form
    2,058.41/3,088.63 = 962.58/x
  3. Step 3: Cross multiply
    2,058.41x = 3,088.63 × 962.58
  4. Step 4: Simplify right side
    2,058.41x = 2,973,066.25
  5. Step 5: Solve for x
    x = 2,973,066.25/2,058.41
  6. Step 6: Final answer
    x = 1,444.35

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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.