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Finding the Fourth Proportional to 2,058.42, 3,088.10 and 597.69

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Solution

The fourth proportional to 2,058.42, 3,088.10 and 597.69 is: 896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.42 : 3,088.10 = 597.69 : x
  2. Step 2: Convert to fraction form
    2,058.42/3,088.10 = 597.69/x
  3. Step 3: Cross multiply
    2,058.42x = 3,088.10 × 597.69
  4. Step 4: Simplify right side
    2,058.42x = 1,845,726.49
  5. Step 5: Solve for x
    x = 1,845,726.49/2,058.42
  6. Step 6: Final answer
    x = 896.67

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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.