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Finding the Fourth Proportional to 2,373.64, 3,564.03 and 2,058.01

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Solution

The fourth proportional to 2,373.64, 3,564.03 and 2,058.01 is: 3,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.64 : 3,564.03 = 2,058.01 : x
  2. Step 2: Convert to fraction form
    2,373.64/3,564.03 = 2,058.01/x
  3. Step 3: Cross multiply
    2,373.64x = 3,564.03 × 2,058.01
  4. Step 4: Simplify right side
    2,373.64x = 7,334,808.19
  5. Step 5: Solve for x
    x = 7,334,808.19/2,373.64
  6. Step 6: Final answer
    x = 3,090.11

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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.