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Finding the Fourth Proportional to 3,124.95, 4,688.04 and 933.63

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Solution

The fourth proportional to 3,124.95, 4,688.04 and 933.63 is: 1,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.95 : 4,688.04 = 933.63 : x
  2. Step 2: Convert to fraction form
    3,124.95/4,688.04 = 933.63/x
  3. Step 3: Cross multiply
    3,124.95x = 4,688.04 × 933.63
  4. Step 4: Simplify right side
    3,124.95x = 4,376,894.79
  5. Step 5: Solve for x
    x = 4,376,894.79/3,124.95
  6. Step 6: Final answer
    x = 1,400.63

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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.