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Finding the Fourth Proportional to 1,547.71, 2,319.51 and 1,341.32

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Solution

The fourth proportional to 1,547.71, 2,319.51 and 1,341.32 is: 2,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.71 : 2,319.51 = 1,341.32 : x
  2. Step 2: Convert to fraction form
    1,547.71/2,319.51 = 1,341.32/x
  3. Step 3: Cross multiply
    1,547.71x = 2,319.51 × 1,341.32
  4. Step 4: Simplify right side
    1,547.71x = 3,111,192.65
  5. Step 5: Solve for x
    x = 3,111,192.65/1,547.71
  6. Step 6: Final answer
    x = 2,010.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.