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Finding the Fourth Proportional to 1,712.74, 2,570.33 and 1,547.50

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Solution

The fourth proportional to 1,712.74, 2,570.33 and 1,547.50 is: 2,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.74 : 2,570.33 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    1,712.74/2,570.33 = 1,547.50/x
  3. Step 3: Cross multiply
    1,712.74x = 2,570.33 × 1,547.50
  4. Step 4: Simplify right side
    1,712.74x = 3,977,571.51
  5. Step 5: Solve for x
    x = 3,977,571.51/1,712.74
  6. Step 6: Final answer
    x = 2,322.35

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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.