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Finding the Fourth Proportional to 2,688.95, 4,032.74 and 957.17

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Solution

The fourth proportional to 2,688.95, 4,032.74 and 957.17 is: 1,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.95 : 4,032.74 = 957.17 : x
  2. Step 2: Convert to fraction form
    2,688.95/4,032.74 = 957.17/x
  3. Step 3: Cross multiply
    2,688.95x = 4,032.74 × 957.17
  4. Step 4: Simplify right side
    2,688.95x = 3,860,030.22
  5. Step 5: Solve for x
    x = 3,860,030.22/2,688.95
  6. Step 6: Final answer
    x = 1,435.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.