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Finding the Fourth Proportional to 3,130.15, 4,695.10 and 790.12

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Solution

The fourth proportional to 3,130.15, 4,695.10 and 790.12 is: 1,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.15 : 4,695.10 = 790.12 : x
  2. Step 2: Convert to fraction form
    3,130.15/4,695.10 = 790.12/x
  3. Step 3: Cross multiply
    3,130.15x = 4,695.10 × 790.12
  4. Step 4: Simplify right side
    3,130.15x = 3,709,688.46
  5. Step 5: Solve for x
    x = 3,709,688.46/3,130.15
  6. Step 6: Final answer
    x = 1,185.15

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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.