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Finding the Fourth Proportional to 3,055.76, 4,583.55 and 975.89

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Solution

The fourth proportional to 3,055.76, 4,583.55 and 975.89 is: 1,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.76 : 4,583.55 = 975.89 : x
  2. Step 2: Convert to fraction form
    3,055.76/4,583.55 = 975.89/x
  3. Step 3: Cross multiply
    3,055.76x = 4,583.55 × 975.89
  4. Step 4: Simplify right side
    3,055.76x = 4,473,017.69
  5. Step 5: Solve for x
    x = 4,473,017.69/3,055.76
  6. Step 6: Final answer
    x = 1,463.80

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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.