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Finding the Fourth Proportional to 2,570.60, 3,547.41 and 1,509.01

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Solution

The fourth proportional to 2,570.60, 3,547.41 and 1,509.01 is: 2,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.60 : 3,547.41 = 1,509.01 : x
  2. Step 2: Convert to fraction form
    2,570.60/3,547.41 = 1,509.01/x
  3. Step 3: Cross multiply
    2,570.60x = 3,547.41 × 1,509.01
  4. Step 4: Simplify right side
    2,570.60x = 5,353,077.16
  5. Step 5: Solve for x
    x = 5,353,077.16/2,570.60
  6. Step 6: Final answer
    x = 2,082.42

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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.