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Finding the Fourth Proportional to 2,102.19, 2,900.95 and 1,158.00

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Solution

The fourth proportional to 2,102.19, 2,900.95 and 1,158.00 is: 1,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.19 : 2,900.95 = 1,158.00 : x
  2. Step 2: Convert to fraction form
    2,102.19/2,900.95 = 1,158.00/x
  3. Step 3: Cross multiply
    2,102.19x = 2,900.95 × 1,158.00
  4. Step 4: Simplify right side
    2,102.19x = 3,359,279.81
  5. Step 5: Solve for x
    x = 3,359,279.81/2,102.19
  6. Step 6: Final answer
    x = 1,597.99

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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.