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Finding the Fourth Proportional to 3,070.95, 4,607.32 and 990.91

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Solution

The fourth proportional to 3,070.95, 4,607.32 and 990.91 is: 1,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.95 : 4,607.32 = 990.91 : x
  2. Step 2: Convert to fraction form
    3,070.95/4,607.32 = 990.91/x
  3. Step 3: Cross multiply
    3,070.95x = 4,607.32 × 990.91
  4. Step 4: Simplify right side
    3,070.95x = 4,565,439.46
  5. Step 5: Solve for x
    x = 4,565,439.46/3,070.95
  6. Step 6: Final answer
    x = 1,486.65

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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.