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Finding the Fourth Proportional to 2,316.48, 3,474.69 and 585.10

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Solution

The fourth proportional to 2,316.48, 3,474.69 and 585.10 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.48 : 3,474.69 = 585.10 : x
  2. Step 2: Convert to fraction form
    2,316.48/3,474.69 = 585.10/x
  3. Step 3: Cross multiply
    2,316.48x = 3,474.69 × 585.10
  4. Step 4: Simplify right side
    2,316.48x = 2,033,041.12
  5. Step 5: Solve for x
    x = 2,033,041.12/2,316.48
  6. Step 6: Final answer
    x = 877.64

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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.