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Finding the Fourth Proportional to 3,095.51, 4,643.71 and 904.24

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Solution

The fourth proportional to 3,095.51, 4,643.71 and 904.24 is: 1,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.51 : 4,643.71 = 904.24 : x
  2. Step 2: Convert to fraction form
    3,095.51/4,643.71 = 904.24/x
  3. Step 3: Cross multiply
    3,095.51x = 4,643.71 × 904.24
  4. Step 4: Simplify right side
    3,095.51x = 4,199,014.46
  5. Step 5: Solve for x
    x = 4,199,014.46/3,095.51
  6. Step 6: Final answer
    x = 1,356.48

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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.