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Finding the Fourth Proportional to 2,597.81, 3,585.08 and 1,478.94

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Solution

The fourth proportional to 2,597.81, 3,585.08 and 1,478.94 is: 2,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.81 : 3,585.08 = 1,478.94 : x
  2. Step 2: Convert to fraction form
    2,597.81/3,585.08 = 1,478.94/x
  3. Step 3: Cross multiply
    2,597.81x = 3,585.08 × 1,478.94
  4. Step 4: Simplify right side
    2,597.81x = 5,302,110.82
  5. Step 5: Solve for x
    x = 5,302,110.82/2,597.81
  6. Step 6: Final answer
    x = 2,041.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.